I '31?! ‘ ' 1 ‘ “V.w———v l ‘ ‘U" .. 1], ‘ 7‘9 0: LIBRARY M irrhigan State University This is to certify that the thesis entitled 238U/230Th Isotope Systematics of Rhyolites from Long Valley, California presented by James Baranowski has been accepted towards fulfillment of the requirements for Masters degree in Geology 4M Major professor y I Date February 24, 1978 0-7639 230 238U/ Th ISOTOPE SYSTEMATICS OF RHYOLITES FROM LONG VALLEY, CALIFORNIA BY James Baranowski A THESIS Submitted to Michigan State University in partial fulfillment of the requirements for the degree of MASTER OF SCIENCE Department of Geology 1977 ABSTRACT 238U/ 230Tb ISOTOPE SYSTEMATICS OF RHYOLITES FROM LONG VALLEY, CALIFORNIA I“ By A James Baranowski ‘L Dates obtained by 2380 - 23oTh systematics agree with K-Ar dates for two post collapse intercaldera rhyolites from Long Valley, CA. Analytical precision was not as great as that obtained by K-Ar methods, but the possibility of systematic error present with the use 230T 232 238U/ of K-Ar methods was reduced. [ h/ Th], [ Th] values for the glass phase fell above the isochron, 232 possibly due to uranium loss during eruption. The use of hornblende-glass pairs to indicate eruption ages (Allegre, 1968) was not suitable for the rhyolites 234U/ 2380 fractionation was investigated. Possible observed. This fractionation could only occur before emplacement, as no evidence for post-depositional uranium migration was observed. (230Th/ 232T indicating that Th/U fractionation is not taking place at h)o values were similar, at .94, James Baranowski a substantial rate among the rhyolites in the Long Valley magma chamber. To Hilary ii ACKNOWLEDGMENTS I thank my advisor, Dr. Russel H. Harmon, and Dr. Tom Vogel and Dr. John Wilband for their assiStance during the course of this study. I would also like to express my thanks to Dr. Rodd May and Dr. Brent Dalrymple of the U.S.G.S. at Menlo Park, California, for freely sharing geologic and geochronologic information on Long Valley with me. Major element chemical analysis was performed by Dr. Robert McNutt, McMaster University. Uranium and Thorium analysis was performed by Dr. H. T. Millard of the U.S.G.S. at Denver, Colorado. I am indebted to Rich Lively for being my surrogate advisor and I thank Sue Leo for her support and friendship. My family, especially my wife Cheryl, deserve special thanks for the sacrifices they have made for me and the help they have been to me over the course of this study. iii TABLE OF CONTENTS LIST OF TABLES . . . . . . . . LIST OF FIGURES . . . . . . . Chapter I. INTRODUCTION . . . . . . II. GEOCHEMISTRY OF URANIUM AND THORIUM Chemical Behavior of U and Th . Isotopic Behavior of U and Th . U/Th Disequilibrium Dating Methods III. ISOTOPIC ANALYSIS OF URANIUM AND THORIUM Sample Collection and Preparation. Chemical Extraction of Uranium and Thorium Separation of Radionuclides . Separation of Major Elements . Contamination . . . . . . Reagents . . . . . . . Glassware . . . . Analytical Procedure, Silicic Samples Alpha Counting Procedure . . Preparation and Use of Spike . U-concentration Measurement . Accuracy of Method . . . . IV. ISOTOPE RATIOS AND ABUNDANCE DATA FOR URANIUM AND THORIUM . . . . V. DISCUSSION AND CONCLUSIONS . . Discussion of Sample Results . Comparison with Previous Results Suggested Improvements . . . “FERENCES O O O O O O O O 0 iv Page vi vii meh 0" l-‘ 22 27 29 31 31 32 32 45 51 58 63 78 78 83 83 86 Page APPENDICES . . . . . . . . . . . . . . 94 I. GEOLOGY OF LONG VALLEY, CALIFORNIA . . . . 95 Sample Collection . . . . . . 106 Chemical and Petrographic Description . . . 106 II. CALCULATION OF ANALYTICAL ERROR . . . . . 112 Sample Calculation . . . . . . . . . 117 Table IV LIST OF TABLES Activity ratios, abundance, and sample yields obtained by a-spectrometry . . . 228Th/ 232Th activity ratios for unspiked samples . . . . . . . . . . . Internal isochron regression data for samples 76A003 and 76A004 . . . . . Uranium and Thorium abundance figures . Major element abundance figures . . . Sample location and description . . . vi Page 66 67 68 69 103 107 Figure 1. 12. 13. 14. 15. 16. LIST OF FIGURES [230Th/232Th], [238U/232Th] isochron . . 238U, 232Th, and 235U decay series . . Graph of [(230Th/232TH)01, [ext] . . . Flowchart--mineral separation procedure . Flowchart—-chemical extraction procedure Flowchart--a1ternate chemical procedure . Uranium a-spectrum . . . . . . . . Thorium a-spectrum . . . . . . . . 2320_238 Th spike d-spectrum . . . . . Uranium concentration calibration curve . 238U 232T Internal [230Th/232Th], [ / h] isochron for sample 76A003 . . . . . Internal [230Th/232Th], [238U/232Th] isochron for sample 76A004 . . . . . Internal [230Th/232Th], [238U/232Th] isochron for sample 76A003 . . . . . Internal [230Th/232Th], [238U/232Th] isochron for sample 76A004 . . . . . Regional map of Long Valley area . . . Map of Long Valley including sample locations . . . . . . . . . . . vii Page 19 24 33 35 46 49 54 59 70 72 74 76 97 99 CHAPTER I INTRODUCTION Accurate dating of Quaternary igneous rocks has long posed a problem. K/Ar methods are subject to large errors caused by small amounts of excess argon (Damon, 1969; Dalrymple and Lanphere, 1969). Analytical accuracy 40 is also critical due to the long half-life of K and low 40Arrad abundances encountered. Many dates for, samples of different geologic age appear contemporaneous l4C dates are poor. 14 and correlation with C dating, though more accurate, is of limited use since only wood, soil profiles, ashfalls, or tuffs may be dated, and the range of the method is limited to rocks younger than 40,000 years. Uranium-series disequilibrium geochronologic techniques may be applied to volcanic rocks younger than 300,000 years. Given an initial state of isotopic dis- equilibrium and subsequent maintenance of closed system conditions, nuclides within the 238U, 235U, and 232Th decay series will show a progressive change toward a 230 state of secular equilibrium with time. Th is the most useful nuclide in this respect, due to its half-life 1 of 75,200 years (Atree et a1., 1962). The systematics of 230Th growth back to equilibrium with its parent, 238U: may be treated in a manner similar to Rb/Sr methodology 23 (Allegra, 1968). Thus, the individual [230Th/ 2Tb] - 2 2 [238U/ 3 rock will describe an isochron, with a sloPe which changes Th] activity ratios for the mineral phases of a from 0 to 1 as a function of time (Figure 1). Whole rock and initial whole rock values may also lend insight into the geochemical evolution of a magma chamber (Allegre and Condomines, 1976). The use of U/Th disequilibrium studies may offer advantages over the use of standard K/Ar geochronology. These are: (1) Migration of U should not occur as readily as migration of Ar. (ii) The shorter half-lives of the nuclides involved with U/Th disequilibrium systematics theoretically should result in greater accuracy in age determinations. (iii) Many materials unsuitable for K/Ar dating are suitable for U/Th dating. (iv) The analysis of several phases is necessary for the construction of an isochron and this provides an internal check on the assumption that the mineral phases have been closed to isotope migration. K/Ar single phase analyses do not possess such an internal check. (v) The use of U/Th systematics also provides petrogenetic information in addition to the age determination, whereas K/Ar analysis will only provide age information. Figure l.--U/Th isotopic behavior in the system 230 23 238U/232 ( Th/ 2Th) - ( separate mineral phases of a volcanic Th) for the rock initially at isotopic equilibrium with different U/Th ratios, but the same (230Th/232 Th) ratios. Filled circles represent the system at t = o, the crossed circles at some elapsed time t = t, and the Open circles at secular equilibrium where t = w. The slope of the line connecting the individual phases is defined by the chromatic function (l-e-xt) and gives the age of the system at any time t. u - — — u E on 32... . . a I. Oufi « s x 9 ¢ ... . 1. TIM Esmmmkhommv f 7 . .u ago-m callmmmuv I“, .. 5.03 2b -_ u one.» \\ The post-collapse volcanics of Long Valley caldera, California, have been chosen as a sample site for this study because excellent age control was available for a number of samples suitable for U/Th dating. In addition, various geologic models have been proposed to explain the origin and relationship of the chemically bi-modal suite of volcanic rocks found in Long Valley. The application of the U/Th systematics to the area should provide informa- tion concerning the age of the associated magma chamber, as well as the amount of fractionation or mixing that has occurred within the magma chamber. In addition, the source of the magma types may be ascertained. The primary objective of this thesis was to develop an analytical method for U/Th isotopic analysis of igneous rock and to test the validity and accuracy of the U/Th method as an alternative to K/Ar dating of volcanic rocks between 10,000 and 200,000 years old. A secondary objective was to use the U/Th systematics as a petrogenetic indicator to test various models for the evolution of the bi-modal volcanic suite of the Long Valley, California, resurgent cauldron. The second goal was only partially achieved as it required complete analysis of the total range of rock types present. This was not possible with the time constraints placed upon this study due to problems encountered with the development of the analytical techinque. CHAPTER II GEOCHEMISTRY OF U AND TH Chemical Behavior of U and Th The general geochemical behavior of U and Th is similar in strongly reducing conditions, such as is present in the magmatic environment. This is due to the similarity of ionic radii in the 4+ valence state: U4+ = 4+ = .96A. U and Th are not readily par- .935 and Th titioned toward the mineral phase, but rather tend to be concentrated in the liquid phase, obtaining their highest concentrations in pegmatites and aplites. There is usually an increase in U and Th content during differentiation and an increase in Th/U ratio with differentiation over a wide range of intrusive and extru- sive rock suites. However, some oceanic island rock suites, such as Hawaii, exhibit a decrease in Th/U ratio (Cherdyntsev and Senina, 1970, 1973; Nishimura, 1970). Cherdyntsev and Senia (1973) attribute this to the erup- tion of a Th-enriched residual magma. Preliminary data from Long Valley, California (Table 4) indicate that Uranium and Thorium abundances follow a normal pattern. Uranium abundances range'from 1 ppm for basalts to over 7 ppm for rhyolites. Thorium abundances range from 2.5 6 as ppm for basalts to over 20 ppm for rhyolites. These abundances were enough to permit measurement of U and Th isotope ratios. Previous studies (Rogers and Adams, 1957; Taddeucci et a1., 1967; Allegre and Condomines, 1976) show that U and Th abundance was distributed evenly throughout the phases present in basic and silicic extrusive rocks. Only small amounts of U and Th are present in uranium minerals. Glass is usually enriched in U and Th relative to the mineral phases, though accessory minerals such as allanite, apatite, zircon, and sometimes magnetite and biotite, act as hosts of U and Th. Quartz and feldspar tend to have low abundances of U and Th. Th/U ratios in phases vary, especially in accessory minerals. Thus, a 238U/ 230 any group of phases present in the Long Valley volcanics. Th isochron may be constructed using virtually U and Th behave much differently in the near- surface environment. Th is always found in the 4+ oxida- tion state, whereas U may be oxidized to a 6+ state. Hexavalent U is usually found as the uranyl (003+) form (Seaborg and Katz, 1954; Christ, et a1., 1955), which is discriminated against in the formation of rock-forming minerals, even as a trace element, and tends to remain in solution. In near-surface, hydrothermal, and supergene environments, the amount of U in the 6+ state may reach 100%, which will allow migration of U relative to Th. U may be leached from mineral phases without destruction of the crystal structure in metamorphic, hydrothermal, and supergene environments (Szalay and Samsoni, 1969; Cherdyntsev, 1971). This is due to the uniform distribution of U and Th in rock-forming and accessory minerals through isomorphous substitution, especially in growth sites, strain defects or micro- fractures, and microcapillaries (Cherdyntsev, 1971). The behavior of U in glass phases is somewhat different. A study by Kovalev and Malayasova (1971) on extrusive rocks indicate that U exists as uranium oxide compounds rather than silicate chains in vitric glasses. U does not leach as readily from these glasses as from mineral phases. Kovalev and Malayasova attributed this to a pro- tective 'silica gel' coating on vitrified glasses. How- ever, large amounts of U migration accompany the devitri- fication of glass (Rosholt and Noble, 1969). Therefore, samples showing any evidence of alteration or devitrifi- cation must be regarded with caution. Isotopic Behavior of U and Th The concentration of the various isotopes of U and Th is controlled primarily by their placement in one of the natural radioactive decay series, shown in Figure 2. 238U, 234U, and 230Th belong to the 238U decay chain. 232Th and 228Th belong to the 232Th decay chain. In a Figure 2.--238U, 232Th, and 235U radioactive decay series. l() Ross.u.. haao~ 1 . . _ new..~_. «a n- L . xv~.a_c fia- 1 . “as. .Nv u\ -A )t X—IT—' Ore C) 4 )l o 4 where: 230Th, 2380, 234U = activities of 23oTh, 238U, and 234U. 230Tho = activity of 23oTh at time of formation 10,14 = decay constants of 230Th and 234D t = age of sample If little or no 234U fractionation relative to 238U has 2380/ 234 occurred, ( U - 1) becomes small and equation (1) reduces to: 230 230 A t 2 (2) Th = Thoe‘ o + 380(1 - e—Aot). This equation may be divided by 232Th to obtain: *Activity units, rather than weight or absolute abundance units, are used throughout when describing isot0pe ratios or abundances. Elemental ratios or abundances are given in terms of absolute abundances, however. 16 t 238 (3) 230Th/ 232Th.= (230Th/ 232Tm0e-AO + U/ 23 2Th (l—e-Aot) . Various means are used to find a value for the unknown 230 quantity Tho in the dating methods above. However, 238 232 230 232 complex variations in U/ Th and Th/ Th ratios in the formation of igneous rocks make assumptions of (230Th/ 232Th)o ratios impossible. The comparison of two minerals crystallizing from 30Th/ 232 from equation (3). In order for an accurate date to be the same melt may be used to eliminate (2 Th) 0 obtained, the following conditions must apply. 230 232 (i) The minerals must have identical Th/ Th ratios at the time of formation. (ii) The minerals must have formed at essentially the same time in relation to the total time span. (iii) The minerals must behave as a closed system with respect to uranium and thorium after formation. Previous U-series disequilibrium studies of igneous rocks have yielded mixed results. Cerrari et a1. (1965) found that an age obtained for a tuff by analysis of resistate minerals in a beach sand deposited from the tuff was consistant with the age assigned on the basis of geological and geomophological evidence. Kigoshi (1967), studying successive acid extracts of a whole-rock sample, obtained an age for a rhyolitic tuff which agreed with a K/Ar date for the same sample. 17 Other results have not been as successful. Taddeucci et a1. (1967) obtained only general agreement between U/Th and K/Ar dates for five rhyolites near Long Valley, California. Kupstov et a1. (1969) analyzed trachyliparite and basalt, and obtained discordant and unintelligible results, which they attributed to a complex 232 Th) values of minerals history and different (230Th/ 0 at the time of formation. As a result, Kupstov et a1. and others (Cherdyntsev et a1., 1967, 1968) resorted to calculation of a maximum age based upon the assumption that no 230Th was present in the mineral at the time of formation. Maximum ages so obtained will be considerably older than the actual ages if a considerable amount of 230Th was present at formation. Allegre (1968) noted that equation (3) described 38U/ 23 230 2Th] (figure 1). The slope of the isochron is defined an isochron in coordinates of [2 2Th]. [ Th/ 23 by the relationship: (4) slope = l - e-Aot. Minerals which do not satisfy the three basic conditions listed previously will plot off the isochron. Fukoka (1974) and Fukoka and Kigoshi (1974) found that zircon plotted off the isochron in a study of dacite pumices. This was interpreted as relic zircon grains included in the dacite lava. Delitala et a1. (1975) was able to 18 construct a separate isochron of infinite age for clinopyroxene and magnetite contained in a pyroclastic 230 tuff with a Th date of 41,500 y. using other mineral phases. This was also attributed to the magnetite and clinopyroxene being relics of an earlier event. Allegre and Condomines (1976) have used initial 230T 32 h/ 2 Th ratios to derive information concerning the development of a suite of andesites in Costa Rica. If a magma is enriched or depleted in U relative to Th as a result of formation, fractionation, or contamination, the Th ratio of the melt will no longer be at 238U/ 230 238 230 230 232 equilibrium. The 0/ Th (and Th/ Th) ratio to the melt will then progressively change back to a new equilibrium value (Figure 3). This progression will be -Aot 2380/ 230 the melt is disturbed once and the melt subsequently behaves as a closed system. The (230Th/ 232Th)o value of 230 232 linear with respect to e if the Th ratio of a rock will reflect the Th/ Th ratio of the magma at the time of crystallization (Allegre and Condomines, 232 1976). Therefore, the (230Th/ Th)o ratios of a suite of rocks eminating from a common magma may be used to define the petrogenesis of a magma by analysis of its 230 232 change in Th/ Th through time. 19 232 Figure 3.--Initial (230Th/ Th)o ratios as a function of ext. Five arbitrary stages (to + t4) are shown for successive eruptions of a magma derived from partial melting in secular equilibrium and rapidly transported to the surface (case 1), successive eruptions of a magma from a differentiating magma chamber with U/Th constant and higher than the source value (case 2) and for a U/Th ratio lower than the source value (case 3). 20 05:9: .222. Co 2.5. 3.295 oceaom Stone ‘5 Aeemmme geomm CHAPTER III ISOTPOIC ANALYSIS OF U AND Th One of the goals of this thesis was to develop an analytical method for U/Th isotopic analysis of igneous rock using the facilities available at Michigan State University. Analytical procedures were largely adapted from procedures used by Thompson (1973a, 1973b) and Kaufman (1964) for use with carbonate materials. Modi- fication of these procedures was required due to the complex chemical nature of the volcanic rocks compared to carbonates. A The method developed was satisfactory for the analysis of rhyolitic rock, and splits of biotite, quartz, sanidine, and rhyolitic glass. Rocks with mafic and intermediate composition were subject to low yields and sample loss. Two analyses of whole rock splits from a rim rhyodacite and three analyses of whole rock splits from basalts were attempted. A satisfactory yield was obtained only once, for the uranium split of a basalt. Sample loss also resulted from the use of the method followed by Allegre and Condomines (1976). Subsequently, U/Th isotopic analysis of basic rocks was not attempted. 21 22 It is recommended that the analysis of mineral splits only should be considered for future studies of this type. Sample Collection and Preparation Four silicic samples were analyzed in this study. All were collected from the post-collapse intercaldera rhyolites of Long Valley, California. Samples of basic and intermediate composition were from the basalt and rhyodacite sequences within the caldera. Sample loca- tions and descriptions are given in Appendix I along with a description of the geology of Long Valley. At the time the samples were collected, it was thought that 5-10 kg samples would yield sufficient material for dating purposes. Due to sample losses in trimming and crushing, and the use of sample splits for thin-section and whole-rock analysis, it became clear that at least 10-20 kg samples should have been collected depending on the relative proportions of mineral phases present in the sample. After weathered surfaces were trimmed, a split was set aside for thin-sectioning. A second split of about 100 g was crushed to less than 100 mesh, first with a metal hammer, then with a ball mill. This split was used for all whole-rock analysis. The remainder of the sample was used for analysis of indi- vidual mineral phases. A flow chart of the mineral 23 separation procedure is given in Figure 4. The sample was crushed to between 40 and 200 mesh, with several smaller size ranges for samples that were to be mag- netically separated. Sieving the samples was necessary in order to increase the efficiency of the separation methods and also to keep the apparatus from clogging. Several samples were run through a Frantz isodynamic separator to separate mafic minerals. The magnetic phase included some glass as well as sanidine-magnetite and quartz-magnetite intergrowths. Although several passes through the separator were required, the sample still required density separation. For this reason, later samples were processed entirely by density separa- tion in heavy liquids. Bromoform mixed with dimethyl- sulfoxide to obtain densities of 2.5, 2.6, and 2.75 g/ml was used. Separations were performed in a separatory funnel in approximately 2 g increments. Glass was separated as the low-density phase at 2.50 g/ml. Sani- dine was then separated from heavier minerals at 2.60 g/ml. Quartz plus any plagioclase present in the rock was separated as the light phase from biotite plus any magneitite and hornblende at 2.75 g/ml. An attempt was made to separate enough material to have at least 5 g of each mineral phase except quartz. It was desirable to collect 10 g of quartz. Due to the small quantity of mineral phases present in these samples, this was not 24 Figure 4.--Flowchart of sample preparation and mineral separation procedures. 25 SAMPLE F LOW PREPARATION 0 m lunweathe redJ thin—section] 40 mesh magnetic glass {with quartz, aanidine) L __ __ __ (if Eadie) _ __ ) non- rmagnetic biotite A quartz hornblende plagioclaise magnetite 26 always possible. No attempt was made to separate plagio- clase from quartz or to separate mafic phases. This did 238 230 ' not affect the placement of the [fifilL] - $3522] Th Th isochron for the sample under study if the individual phases plotted on the isochron. The isotope ratios of the mixed phases were averaged and this value was also plotted as a point on the isochron for the sample under consideration. For this reason, very high purity was not required of the mineral splits. Purity was checked by optical methods, and with the exceptions above, was found to be 90% or better. Chemical Extraction of Uranium and Thorium Before accurate analyses of the d-spectra of the uranium and thorium isotopes of interest could be per- formed, chemical purification was required. This was because radioisotopes with a-energies between 4.0 and 5.5 MeV would overlap the q-energies of the nuclides of interest (Figures 7 and 8). The elements responsible for interference are radium, protactinium, radon, and polon- ium. Uranium will also mask the thorium spectrum and vice versa, as the decay energies of the elements overlap. The activity of interfering nuclides should be reduced to less than .1% of the activity of the desired nuclide in order to reduce systematic errors. Chemical 27 purification was also required since self-absorption would result if the source contained more than 100 ug/cm2 of material. This would result in attentuation of the sample activity and 'tailing' of the original particle energies, causing loss of resolution. This is known as a 'thick' source. Any element that can be plated on a disc and is present in quantity will cause 'thick source' problems, or problems with the extraction procedure. The elements that must be reduced in quantity by the largest degree, due to their concentrations in rhyolites, are: Si, Al, Fe, Ca, Mg, K, Na, and Mn. Separation of Radionuclides Uranium and thorium were separated quantitatively by the use of the strong-base anion exchange resin Dowex l-X8 in 9M_HC1 (Kraus and Nelson, 1956; Kraus et a1., 1956). U was adsorbed onto the resin while Th remained in solution in the elutate. U was subsequently eluted by .1M_HCl. Following this, Th was removed from the U elutate by extraction in .ZM thenoyltrifluoroacetone (TTA) (Poskanser and Foreman, 1961). At pH 1.2, 100% of the Th was extracted, while less than 5% of the U was extracted. U was also removed from the Th elutate of the 9M’HC1 column by feeding the Th solution through the same resin in a 10% SMIHNO3 - 90% methanol form (Tera et a1., 1961). U remained in solution while Th was adsorbed to 28 be eluted later in 1M_HNO Through these steps U and 3. Th were quantitatively separated. Since 226Ra contributed to 230Th and 234U activity it was removed. This was accomplished during the Fe(OH)3 precipitate step where Ra remained in solution. Ra also remained in solution under anion exchange, and was not extracted by TTA (Hagemon, 1950). A fraction of 231Pa activity will overlap the activities of 228Th, 230Th, 2320, and 234U. The presence of 231Pa can be detected from observation of the 5.01- 5.05 MeV peaks, but correction was not necessary since Pa was separated from Th by adsorption with U on the Cl- column (Kraus et a1., 1956) and was separated from U by extraction with Th into TTA at pH 1.2 (Poskanser and Foreman, 1961). 210 232 228 Po will obscure the U and Th peaks if present. Po was removed by volitalization during evaporation of the sample onto a planchlet and subse- quent heating of the planchlet to red-hot before counting (Kaufman, 1964). However, 2108i will decay into 210Po with a 138 day half-life. Bi was partially separated from Th by incomplete adsorption onto anion exchange resin in C1- media and almost no adsorption in HNO3 - methanol media (Kraus and Nelson, 1956; Tera et a1., 1965). Bi was partially separated from U by incomplete elution in .1M.HC1. Since some 21oBi was present in the 29 the sample, especially in U samples, the samples were plated and flamed immediately before counting. Thompson 21opa (t = 134.8 i days) by counting 232U several months after plating, and (1973a) monitored the presence of no change in U activity was reported. Since radon is an inert gas, it was not plated on the planchlet and constituted no contamination prob- lem. Separation of Major Elements The presence of Si during the chemical extraction process may cause problems as gels will form at many stages of the extraction procedure. Fortunately, Si was volatilized during the dissolution process by production of SiF4 during HF fuming. In addition, Si did not absorb onto anion resins and tended to remain in solution during Fe(OH)3 precipitation. When silica or alumina gel was present in small amounts, it was assumed that negligible U or Th was contained in the gel and the gel was dis- carded. No difference in sample yields were noticed between samples with small amounts of gel and gel-free samples. However, samples with large amounts of gel were frequently lost, either by U or Th loss or the impossi- bility of continuing the extraction procedure as the .presence of gels and precipitates also interferred with solvent extraction steps. 30 Most gels and precipitates encountered were probably due to the presence of Al, rather than Si. A1(OH)3 was precipitated along with Fe(OH)3 in the pre- cipitation step. A1 should elute while in 9M.HC1 form in the anion exchange step, but small quantities were noticed in U elutates from columns that were not rinsed correctly. The presence of large quantities of A1 will interfere with the N03- - methanol anion exchange or the Cl— cation exchange methods. For this reason, Al was removed as A1(OH)4- form by washing the sample while in the hydroxide precipitate form with NaOH before adsorption onto the Th adsorbate columns (Kaufman, 1964). The possibility of large precipitates of insoluble resi- dues was reduced by eliminating evaporation steps from the procedure until relatively pure U or Th absorbates were eluted from their respective columns. Although iron was added to iron-poor samples as a carrier in the Fe(OH)3 precipitate step, iron will adsorb onto the anion resin along with U in 9M.HC1 media, saturating available exchange sites rather quickly. For this reason, Fe was extracted into isopropyl either before the sample was placed on the Cl_ exchange column. Because the initial ether extraction was usually incom- plete, and Fe was extracted with U into TTA at pH 3.0 (Poskanser and Foreman, 1961), thick source problems were avoided by a second ether extraction using lower volumes 31 of liquid before extraction into TTA. The presence of Fe could easily be detected in solution, in precipitate, and on exchange resin by its reddish color. Any other element that was present in the sample in quantity would also present a problem in analysis, either by creating a thick source or by interfering with the chemical procedure. However, no other steps were taken for removal of these elements as most, with the exception of Mn, Ni, and Mg, were removed in the hydroxide precipitation step by remaining in solution. In addition, the ion exchange and TTA extraction steps further dis- criminated against other elements present in the rock samples. Contamination Reagents All reagents used in the chemical process were reagent grade obtained from Baker, Fisher, or Mallincrodt. The hydrofluoric acid was Target electronic grade (similar to reagent grade). These reagents were not com- pletely free of uranium or thorium, but any contribution due to reagent or glassware contamination was negligible. This was ascertained in reagent blank runs, spiked with 2320/ 228 distilled and deionized. Reagents were stored in either Th, conducted at this lab. All water used was polyethelene or factory supplied containers. 32 Glassware All evaporations were carried out in vycor or teflon glassware to minimize adsorption of thorium onto the glassware. For other uses pyrex glassware was used as well. No qualitative adsorption problems were encountered provided the samples were in either strong acid or precipitate form. It was noticed during the preparation of thorium standards that thorium could be adsorbed if the standard was not strongly acidic (greater than 1N HCl). Glassware used in the final (TTA) steps of the procedure were cleaned by acetone, followed by vigorous soap scrubbing, 8N HNO3 wash, 8N HNO3 rinse, distilled water rinse, and a final acetone rinse. Vycor and teflon glassware were cleaned by storage in 8N HNO3, followed by soap wash, acid wash, acid rinse, and dis- tilled water rinse. All other glassware were cleaned by soap, followed by acid and distilled water rinses. Liquinox phosphate-free soap was used, as uranium will complex with phosphorus. Reagent preparation is after Thompson (1973b). Analytical Procedure-~Silicic Samples Rhyolites were analyzed from the following pro- cedure, adapted in part from Thompson (1973a; 1973b), Kaufman (1964), and Tera, et a1. (1961). A flowchart of the procedure is given in Figures 5 and 6. 33 Figure 5.--Flowchart of chemical procedures used in chemical extraction of uranium and thorium. 34 SAMPLE FLOW - U-Th EXTRACTION insolubles ‘ NaCO fusion '* m If [33d spike, Fe carriefl hydroxides organic isopropyl eths r extraction aqueous absorbate elutate ‘JTh,AI K Metal ions s ups rnatant sum: hydroxides supernatant m hyd roxidss m 10']. 5M HNO3 90$ H's-ethanol . a} uno pH-l. 2 ‘5'9'53'. elutate . 25M TTA organic 91"“ m snfaction m m. I evaporate . m "no; 93's). 2 ‘ . 25M TTA “INN“ . 25 TTA aqueous anti-action PW Bi. 9" 3‘ sxttr‘actb Po. Bl, Pa, Rs evaporate evaporate m 35 Figure 6.-—Flowchart of alternate chemical procedures used in chemical extraction of Thorium. 36 Manges 0‘ a l N .Humm mozm 2S . r «anemone - 0333 0: 0390925 Noam dam . 08m dam , .3 muomm 25 . A Bow undue e43 . E \/ 320 mcom 332 _.I wXJSom XoBOQ . Aah. 147 332» Ao‘ 8383s 1 Hummfl pl) v l N some, EOmZ Eoum «AQV 533be .2... measures 3382+. 37 1. Weighed samples, preferably between 5-129 (samples in this study ranged from 2-36g) and crushed beyond 100 mesh, were placed in teflon beakers. Approxi- mately l80-200m1 concentrated HF was slowly added, with agitation, to minimize splattering. The sample was covered, heated, and fumed for a minimum of 24 hours, with occasional stirring. Additional HF was added to maintain the original volume. 2. After fuming, approximately lg boric acid was added to neutralize the F- ion. The sample was then evaporated to & volume. To prevent the formation of insoluble fluorides, approximately 100ml concentrated HNO was added and the solution was evaporated. While 3 stirring, 150ml concentrated HCl was added and evaporated. The sample was then wetted with concentrated HNO3, stirred and evaporated, and then taken up in approximately 150ml 5M|HNO3. All solids were stirred into suspension and allowed to settle. A glass stirring rod was placed in the sample to check for F-. After an hour the super- natant was decanted into a large beaker and more SM'HNO3 was added to the residue. This process of adding addi- tional SMHNO3 was repeated until the sample was quanti- tatively in solution. Generally 4-5 washes of SMHNO3 are required to gain the desired solution. Insoluble residues at this point were fused with NaCO at 850°C in 3 platinum crucibles. It is important that all the sample 38 goes into solution, since uranium will be preferentially accumulated in the supernatant before the tracer is added. 3. Once the sample was in solution, it was diluted to 4M HNO3 and a 2ml Fe3+ carrier was added to all Fe-poor samples (all but biotite and mafic whole-rock samples). 2ml dilute spike was added to all samples. This amount of spike results in peaks that are approxi- mately equivalent in size to a 5-lOg rhyolite sample. The sample was then allowed to stand for 8 hours to allow the spike to reach chemical equilibrium. 4. The sample was placed on a magnetic stirrer and concentrated NH3OH was slowly added until the pH reached 6.5. The solution turned brown and a tan to light brown precipitate was formed. This precipitate consisted of Fe, Al, U, Th, Mg, Mn, and other hydroxides. When adding NH3OH, care must be taken to avoid splatter- ing and also to prevent the formation of localized areas of high pH. 5. The precipitate was allowed to settle. The solution was filtered using a funnel and 19cm Wratten #1 filter paper. The supernatant was discarded. 6. The filtered precipitate was dissolved with 9M'HC1 into a clean 250ml pyrex or vycor beaker. Fre- quently, insoluble gel substances were encountered at this point. In that case, the funnels were rinsed and left 4-8 hours to allow all of the supernatant to drain 39 through, then the gel was discarded. Since no difference in yield was noticed between samples with and without insoluble gels, it was assumed that the gels are composed primarily of silica and alumina and do not contain appre- ciable uranium or thorium. A 7. The 9M HCl sample was placed in a 250ml separatory funnel. An equal amount of isopropyl ether was added, and the funnel was shaken vigorously, venting frequently to relieve pressure. The phases were allowed to separate and Fe was extracted into the organic phase. This step was repeated until the ether showed no change in color. The ether dissolved in the sample was evapo— rated by warming. 8. An ion exchange column for separation of U and Th was prepared by stopping the bottom of the column with glass wool, slurring 7cm anion exchange resin (BioRad AGl-X8) into it, and rinsing the column with 30ml 9M'HC1. The rinse was discarded. The sample, in 9M.HC1, was added to the column and the drip rate adjusted to 50ml/hour. 30-50ml 9M_HC1 was added as rinse. U and Fe were adsorbed on the column, while Th and other elements were eluted. To elute U and Fe, 100ml of .1M HCl was added. When the color band separating the acid phases was 4cm from the bottom of the column, the col— 1ecting beaker containing Th was removed and saved. A 40 clean beaker was placed under the column and the U and Fe was collected. Note: The adsorbate may be dissolved into solu- tion if too much sample and rinse is allowed to pass through the column. For this reason, the volume of sample and rinse was limited to 170ml for small (8mm x 7cm) columns and 250ml for 12mm x 8cm columns. If the sample was of greater volume, it was split between two columns. 9. The initial elutate containing Th was trans- ferred to a larger beaker and concentrated NH4OH was added until the pH reached 6.5. Hydroxides were precipitated as in step 4. The solution was filtered and the supernatant discarded. 10. The contents of the funnel were washed twice with 75ml hot 3M NaOH. Al was removed into solution as A1(OH)4- and the supernatant was discarded. 11a. If the remaining precipitate filled more than i of the filter paper, it would not go into solution in a small quantity (less than 30ml) of acid and an alternate method (described in 11b) was used. For low volume precipitates, the sample was dissolved in a minimum amount of 5M HNO3 by adding 10ml 5M HNO3 to the funnel, taking care to wash the sides of the filter paper. With a spitzer (a disposable lml pipet), the precipitate was rinsed down the sides of the paper using the remaining 41 solution in the funnel. This procedure was repeated, recycling the same solution. 7m1 fresh 5M HNO3 was then added to the funnel and the walls were washed as before. If an insoluble gel remains, it may be presumed to be a silica or alumina gel and discarded. An ion exchange column was prepared as previously described, except the column was set in 10% 5M__HNO3 - 90% methanol instead of 9M'HC1. The sample was diluted with methanol to obtain a 10% SMHNO3 - 90% methanol mixture and then added to the column. The column was rinsed with 30ml 10% SM'HNO3. The elutate containing impurities was discarded. Th had been adsorbed onto the column and was eluted with 100ml 1M.HNO So as not to cook the Th residue, it 3. was evaporated to dryness over low heat or a steam bath in a vycor beaker. The sample was then ready for step 12. Notes: (1) The 5_M_,HNO3 solution should be run through the Th-column as soon as possible or practical. It may be oversaturated and precipitate with time. (2) If a slightly larger volume of acid is needed to dissolve the sample, use 20ml SMHNO3 rinsed with 10ml 5MHNO3 and feed the sample onto two exchange columns. (3) Care should be taken to insure that the sample WilJl dissolve while in hydroxide form, as the hydroxides 42 are much more soluble than the nitrates or chlorides at this stage. In early trials, the precipitate was taken up into HCl or HNO3, evaporated, and taken up in HCl or HNO3 for placement on the exchange columsn. Insoluble residues, gels, and precipitates were common, and Th was often lost. 11b). If the precipitate was too large to dis- solve in a small quantity of acid, the following technique was used. The precipitate, after NaOH wash, was dissolved in 100-150ml 3M|HC1. The wash was repeated as necessary, using fresh or recycled 3M|HC1. If an insoluble gel was present, it was discarded. A column was prepared using cation exchange resin (BioRad 50W-X8) and 3M_HC1. The sample was fed onto the column and rinsed with 30ml 3! HCl, followed by 30ml 6M_HC1. The original elutate was discarded and the column rinsed. Th was adsorbed on the column and next eluted with .75M oxalic acid. 10ml con- centrated HNO3 and 500 ug La was added and the solution evaporated in a vycor beaker. When approximately 10ml of sample remained, 50ml BM’HNO was added and re- 3 evaporation continued. When 2-5m1 remained, the sample was again diluted with 50ml 8M|HNO3. This step was repeated an additional 3-4 times or until all the oxalic acid had been evaporated. Finally, the sample was care- fully evaporated to dryness over low heat. The presence of oxalic acid in the evaporating solution was 43 characterized by a honey-yellow color and a large amount of white vapor as the solution neared dryness. Small white crystals in the residue also indicated oxalic acid. The sample was now ready for step 12. Note: Since oxalic acid forms precipitates in benzene which is used in the following step, and thorium oxalate is insoluble, sample loss will result if all oxalic acid is not removed from the solution before residues form during evaporation. For this reason, the 3M_HC1 columns should be used only when necessary. 12. The Th residue was carefully dissolved in 2m1 .lM'HNO (pH adjusted to 1.2) and transferred to a 3 centrifuge tube with a spitzer. An additional lml .1! HNO3 was used to rinse the beaker and was transferred to the centrifuge tube. If the sample did not dissolve, it was wetted with 8M_HNO3, evaporated, and taken up in .1M_HNO3; or the sample was dissolved in a small amount of SM'HNO3 and diluted with a few drops concentrated NH OH to adjust to pH 1.2. The pH was brought to 1.2 4 by a stepwise addition of .3m1 dilute NH OH. 2ml .25! 4 TTA (thenoyltrifluoroacetone) in benzene was added and the solution was thoroughly mixed using a spitzer and a vortex stirrer for 3 minutes. The time at which mixing was started was recorded to the nearest minute. The contents were centrifuged and Th extracted into the organic phase which was transferred to a 10ml beaker 44 with a spitzer, care being taken not to transfer any of the aqueous phase. lml of the TTA solution was again added to the aqueous phase, the sample was mixed for 5 minutes and centrifuged, and the organic phase was trans- ferred to the 10ml beaker. The aqueous phase was dis- carded and the organic phase was evaporated to approxi- mately .lml over low heat. This was taken up with a spitzer and evaporated drop by drOp onto a stainless steel planchlet warmed from the edges. Care was taken to insure that evaporation did not go to the edge of the planchlet and was uniformly thin. Lastly, the organics, radon, and polonium were volatilized by flaming the planchet until red-hot over a bunsen burner. The planchet was now ready for the a-counter. 13. The U elutate in .1M|HC1 from step 8 was carefully evaporated in a vycor beaker to dryness over low heat so as not to overdry the residue. The residue was taken up in 5m1 9M|HC1 and Fe was again extracted by isopropyl ether using a test tube and spitzer. The aqueous phase was returned to the beaker, carefully evaporated, wetted with several drops concentrated HNO3, and carefully re-evaporated. 14. The U-containing residue was dissolved in .1M'HNO (pH 1.2) and transferred to a test tube the same 3 way as the Th residue. lml of the .25M_TTA was added, the contents mixed, and centrifuged. The aqueous phase 45 was then transferred to a second test tube, and the organic phase was discarded. The pH of the aqueous phase was adjusted to between 3.0 and 3.5 by the step- wise addition of .3M_NH4OH. Uranium was extracted into the TTA solution and plated onto a stainless steel planchlet in the same manner as the Th split. The plated U disc was then flamed in the same manner and was then ready for a-counting. Alpha Counting Procedure A typical U spectrum is shown schematically in 232 Figure 7. U activity plus background activity was measured by summing all counts from the base of the 232U peak (D) to the base of the 234U peak (C). In this way, activity due to tailing of 232U was counted. 2340 plus 96.7% 235U activity was counted from C (base of 234U peak) to B (base of 238U peak). 2380 plus 3.3% 235U 238U and 235U are found in fixed proportion to each other, the 2350 contribution to 2340 was eliminated by dividing the 238 activity was counted from A to B. Since U activity by 21.7 and subtraction of this figure 234 235 2380 from the U activity. U contribution to activity is negligible. In order to minimize errors caused by tailing of 238U and 234U, the number of channels included in the 2380 and 2340 activities were the same. Some error resulted from 234U activity in 46 Figure 7.--Graphic representation of the uranium alpha-spectra of a typical rhyolite. 47 $9.622 ozEmummpz.) w w new w _ r. } 1 _ oh >22 2.555 oh _ _ —0 _q 18922 022 h V. _"Lasz ml..._...o>xm Ado-arr 22235.. «JP—bum m (In—44 322 bSZ 993 m n89? WBNNVHO SlNflOO 48 the 2380 region, and 232U activity in the 238U plus 2340 regions, but this was considered negligible for a thin source. Thorium spectra (Figure 8) were counted in the same manner: 94.5% 224Ra was counted between D and E, 5.5% 224Ra and 228Th was counted between C and D, 230T was counted between B and C, and 232Th was counted between A and B (same number of channels as 230Th). 224 228 h Ra will grow into equilibrium with Th with a 3.64 day half-life after TTA extraction. Since a correction for 224Ra activity in the 228Th energy level must be made, and some tailing of 224Ra occurs under 228 Th decay, Th samples were counted immediately after TTA extraction. All activities also include a background activity, mostly due to contamination of the detector over time. To compensate for this a blank disc was counted for 12 hours every week. It is important that background counts cover the same channels that the readings cover or substantial errors may result. In this manner a separate background activity for each isotope counted was obtained. These activities were averaged over three consecutive weeks. Sample calculations and error analysis are given in Appendix II. 49 Figure 8.--Graphic representation of the thorium alpha-spectra of a typical rhyolite. 50 Z Z 7.. 2 Z Z Z ”whn m n ma mmosoaz ozEuummpz.‘ uo_.. n_. o n w w__. n_u n_u o a. om >2. 2. 552m oh 0 1. .l . _ x i1 _ L < < w o Ni] _ _ a Z d9 W0 O o w _ m u 1... a. __ _ 339:1”. 43...: o z z a .22on m. n «581% 51.1.3 t w. w. . _ 2. 7w 8 Q1 51 Preparation and Use of Spike Uranium and thorium yields were monitored by the 232 228 use of a 0/ Th spike. This isotope pair was used 232U, 232 because 228Th is the daughter product of U does not occur in nature, and the a-energies of 228Th and 232D are near to those of 232Th, 230Th, 2380, and 234U. 232U/ However, there are disadvantages to the use of a 228Th spike, notably that common 228Th occurs in the samples as a member of the 232Th decay chain. However, if it is assumed that common 228Th and 232Th are in equi- librium, 232Th activity may be subtracted from the total observed 228Th activity to obtain only the 228Th activity due to the spike. 228Th and 232Th are separated by 228Ra (ti = 6.7 years) and 228Ac (t = 6.13 hours). i 228Th will grow into equilibrium with 232Th within 40 years, therefore, extensive 228Ra In a closed system, migration may occur during the history of the rock, as long as no fractionation has occurred in the last 40 years. Thompson (1973a) and Oversby and Cast (1968) found no evidence of disequilibrium in pleistocene samples. However, Cherdyntsev et a1. (1967; 1968) found 228 232 wide variations in Th/ Th ratios. This problem was resolved by analysis of two 228 232T unspiked samples and measurement of their Th/ h ratios. The data (Table 2) suggest that 228Th is in equilibrium for the rhyolites of Long Valley, California. 52 When using a 228Th enriched spike, a correction 228T factor must be added to correct for unsupported h decay. Since unsupported 228Th decays with a half-life of 1.90 years, the following correction equation was used: 228Th = 228Th (1 _ e-lt) corr meas _ 228 At - Thmeas ( ) where: 228 _ . . Thcorr — act1v1ty corrected for unsupported decay 228Thmeas = measured activity _ 228 _ A - decay constant ( Th — 9.927 x 10‘4d'1) t = elapsed time in days between start of sample counting and uranium separation (9M HCl column for silicic procedures; HF wash for basic procedures) 228 Th spike is unsupported after it is separated from 232 228 U in the 9§'HC1 column, but common 228Th is discriminated against in the Fe(0H)3 Ra supporting the precipitation step. Since less than 1% of the original 228Ra will accumulate in one month, and intermediate 228Ac 4!! 53 will decay rapidly, the equation describing the decay of common 228Th simplifies to the equation above. This correction is small for samples counted less than a month after U and Ra separation from Th. Since U was separated from Th only a day or two after Ra was separated from Th and a small amount of Ra remained with the Th after the Fe(OH)3 precipitation step, the time of U extraction was arbitrarily chosen for use. Another problem in using the spike was that Th tends to adsorb onto glassware, drawing the spike out of equilibrium. For this reason, the spike was stored in borosilicate glass and acidified with GH’HCl. In addi- tion, the spike isotope ratio and activity was calibrated periodically by direct measurement, as described below, after Thompson (1973b). lml of prepared spike was evaporated to near dry- ness, 4 drops distilled H20 was added, the solution was transferred to a spitzer, and the solution was slowly evaporated onto a stainless steel planchlet. The evaporation must be thin and uniform, as minimal tailing is necessary to resolve the peaks. The planchlet was not flamed. The sample was counted until at least 10,000 counts were recorded on the 224Ra peak (see Figure 9). 228 232 224 Although Th and U cannot be resolved, Ra can be considered in equilibrium with 228Th. Therefore: 54 Figure 9.--Graphic representation of the alpha spectra of the 232U - 228Th spike. >02 2. >m¢wzw 55 9m — o _ . a u u I O .7 9 U u u w -3 Sim fimuw «nu (chumam ¢ao zo_._.3 nocwmuno mpaofl> mamsmm can .mCOwumuucmocoo .mowumu >uw>wuo¢nn.a mqmda TABLE 2.--238Th/232Th activity ratios - unspiked mineral splits. 76A004 Glass 1.055 : .068 76A004 Quartz .990 + .070 6E3 as as m m m 1mm .>.o ooo.os ooo.oa ooo.m ooo.m ooo.m .mc.H ooo.vm ooo.¢m ooo.m0H ooo.mos ooo.m0H Ame mom sans «so. mmo. H oAnBNMN. Nam. mam. ovmsm. mum. smm. .1111: 0mm c s s s s ‘H 000 on ooo MHH ooo so ooo mm 000 we Ass u . : ooo.~mH ooo.vwa ooo.oss ooo.mms ooo mos Ass 0 mm NH mm sq mm Ass .>.o ooo.mm ooo.oH ooo.- ooo.mv ooo.om Assn“ ooo.moH ooo.n~H ooo.mm ooo.mw cow.om ”sou mmm. mama. mom. momm. room. as mommovmmo. monHosmo. mmosmvvvm. omosooHom. Nommmnmvm. Hg 0 mmm. mam. mac. mmq. mac. a x00» wHona xoou oaonz ocapwcmm msflpwcdm ocwowcmm ocwpwcmm wuumsv uunmsv nuumsw NauQSU Nuumsv xoou oaoz3 xoou maon3 xoou maon3 muwamm musuosa wusuosn musuosn wusuomn musuosn magmas: A29 D :9 D :9 D :9 D a D con 00m «mmx «mus A mmmx smm. 1 mmmx ammo 1 ~m~\ mmmc 1; ~m~\ mmmc s H voosmn voosoh mooson moosmn moose” uwnssz msmsmm . VOOm0 pumocmum mac n sawumwum> mo ucmwufimwooo n .>.o onmscsoo m3.68 ..m.o.m.s .oumaawz .a.= at AcoHumowcsano assemuwmv was m C nu nn nn nn nu nn nn nu m.m m H.H Hm ~.v mao¢o> nu nn nn nu nn nu nn nu o.m 0H o.H mm o.~ hector nu un nu nn nn nu nn nu H.m m N.H mm m.m ooomwh uHmmmm o.m o N.N ms N.HH nn nu nu o.m e m.~ ms m.m «NOUthoHoson oufiompoxsm nn nn uu nn un nn nn nn nn nu un nn nn anodes m.~ m m.o m o.oa nn nn nu uu nu nu nn nu nooownxomoson H.¢ m m.m m m.ms nu nn nu nn un nn nu nn ssoomm\mao.o smm a .>.o smm as axns smm a smm as o\ns .>.o smm a .>.o smm as n. onEMm a COAum>wuo¢ couusmz >uuweouuowmmuo ac cowum>wuo¢ couusmz .moocmvnsnd £9 and Dun.v Wanda 70 232 238U Figure ll.--[230Th/ Th], [ 232 / Th] internal isochrons for sample 76A003. 71 0.0 39540210: uthoi 20¢:00n. 4(28Uh2. uh30>rc >u.__.._<> 0204 n00<0h 'n -|"""'I-"" on...osh muu44<> 020.. Q00<0b g... «MN 0.. NOZHJOZRO... uh.h0.0 0.0 74 23 232 234U/ Th] internal Figure 13.--[230Th/ 2Th]. I isochrons for sample 76A003. 75 film's... shunu . . a o u n _ v3 o.. ad ad — 4 u u 4 d 4 J u d u q u 1 4 J d 1 0.0 3232.5: .. 22.303. .3255. 3.33 . 330:... >33... 26.. n n o nooz¢ >u44<> 020.. n t00, w r /I/\ x .z \. II \ zlzzxx n. m. /\ \ “/V\II’—A’—\ /\ \ W \~\~ ~ m r... K m] 0 s n. 'I w I r I l I. l I. .w l‘ O .H II I ' I I I ‘ a l L l u I. l A I" m V l I A " w. P I. nnl'l""‘l||||[l" A “W In» '5! "ill lllliin h ""l .\t I ' l\.n I 119‘15' 99 Figure l6.--Geologic map of Long, Valley, California, showing sample locations. Numbers on map correspond to the last two digits of the sample number. EXPLANATION [:3 Alluvium, glacial deposits. and caldera run 0 rhyolite Volcanic vents I rhyodacite ' - it I. ‘i Holocene rhyolnte rhyodac e ‘ ba salt-an d esite S . \\\\\\\ Late basaltuc rocks 3. sample locality ' Rum rhyodacntes 0 Drill hole 7 -" Moat rhyolutes _L. Direction of dip oi strata Early rhyolites tutts: line dotted flows: coarse dotted / General direction oi Bishop Tull "”3” °' '3" . . . . dome "0V6: ""0 lined Normal fault - ball and bar Rhyolnte 0' Glass Mtn tufls: coarse lined on downthrown side ‘ . m 7W3" V°'°a"‘° '°°"‘ I- Outline on Long Valley I Jurassic-Cretaceous granitic rocks I caldera floor Paleozoic-Mesozoic metamorphic rocks 119'00' \\\ 100 ////////””’ j I ///////////// //////// //////////”’/”/’/ /////////////;;/I / \\\\\\~ \\ usuu§§§§§§§§;- I O Ill/ll ’ u _ xz/n/ /” 1 an z/////////”/ n “.9 /////////”” . ()C) ////////”” I U ///////,///l -’ ,, Ill/l/ /”” .1 I. ’7’, //// m x/ , , /// o // /’ I ..... {,6 %I"‘ ~/ 7) / / g b m 10 KM 8 101 occur in the caldera area, including the caldera itself. The distribution of the mafic flows does not suggest a direct correlation with the associated magma chamber and caldera itself (Bailey et al., 1976). A thick sequence of rhyolites on the northeast rim of the caldera can be related to the Long Valley chamber (Bailey et al., 1976). These rhyolites, which underlie Glass Mountain, range in age from .9 to 1.9 m.y. old. The rhyolites are aphyric to sparsely por- phyritic, high in silica, peraluminus, and highly dif- ferentiated (Noble et al., 1972). The Bishop tuff is a rhyolitic ash flow sheet which erupted from vents in the caldera. The tuff is crystal-rich, rhyolitic, and homogeneous in composition (Huber and Rinehart, 1967; Sheridan, 1968). Based on geochemical and mineralogical evidence (Hildreth and [Spera, 1974), Bailey et al. (1976) calculated that 600 km3 of magma was ejected. Although great volumes of material were ejected in more than one event (Sheridan, 1968), K/Ar dates and geochemical evidence indicate that the Bishop tuff was emplaced within a time span of a few centuries, or less, about 700,000 years ago (Dalrymple et a1., 1965). Formation of the caldera took place immediately after or during eruption of the Bishop tuff, as the roof of the magma chamber collapsed. 102 Crystal-poor rhyolite tuffs, flows, and domes were erupted within the caldera almost immediately after collapse. K/Ar dates indicate that these early rhyolites had been erupted over a span of 100,000 years and less than 100,000 years after eruption of the Bishop tuff and collapse of the chamber. Chemical analyses (Table 5) show that the rhyolite is homogeneous in chemical compo- sition and high in silica, although Bailey (1974) was able to map three mineralogical facies. Glass in the early rhyolite domes and flows is partially devitrified. Uplift into a resurgent dome in the west-central part of the caldera accompanied emplacement of the early rhyolites (Bailey et al., 1976; Smith and Bailey, 1968). After resurgence, hornblende-biotite rhyolite, richer in phenocrysts and slightly poorer in silica than the early rhyolites, was erupted. These rhyolites are highly pumacious with a vitrophyric texture. Three groups of rhyolites were erupted, in the south-east around 300,000 years ago, in the north-east about 500,000 years ago, and in the west around 100,000 years ago by K/Ar dating. Basaltic magma was erupted in the west moat associated with a chain of basaltic magmatism extending from Devil's Postpile to the south-west of Long Valley (Huber and Rinehart, 1967), to the Mono basin, 45 km 1113 .moosoas on now oooooH o conunsou so soon n .H.o.n ..oooa. woos one someones. nn nu m..o on. nu nn oo.o Ho. nu oo.~ oo.m nu ma. H.o.n nn un mm. on. oo. ms. nu nn o.. nn uu om. nn ow: on. o.m mo. mo. oH. mm. mm. mm. so. ed. on. mo. ea. memm NH. on. os. ma. oo. oo. vo. mo. mo. so. so. No. no. on: v.. o.~ on.. so.. so. on. me. mo. ma. ow. vs. oH. oH. «One o.H ~.~ ~o.s oo.H o.e o.m oh.m va.v m.v oo.v m>.o ~.m oH.m ems m.m o.o ov.m oH.o m.o o.m so.~ -.o o.m oo.n oo.m m.m em.m cmoz m.os H.o oo.o m~.o e.~ >.~ no. Hm.~ on. oH.H mo. on. he. one m.e o.m oo.o No. H.H o.H mo. eo.a om. em. em. on. on. om: o.o H.o oo.o mo.o o.v e.m om.a oo.m s~.H ~o.~ NH.H ov.~ no.~ momom o.n~ o.oH me.nn o~.eH o.>H o.oH Nm.ms .m.oH m.ma mm.oH oo.MH m.oH on.ma memss .m.ov .e.om oa.~m ~o.om .n.oo so.mo om.~e ma.>o .v.oe -.mm om.o> .~.vp mm.oe menu moan: moon: oaosoe oooson o~onz oomnz oHosos Noosoe wean: naosoh ooosoe Hanna oaosou monsoon opus mouwoooomnm 5.2m . mounaomnm one: mounaomsm mason .ouoo Houseman xaomnn.m mamas 104 north (Christensen and Gilbert, 1964). Eruption of the basalt was contemporaneous with the eruption of the last group of moat rhyolites. These rocks are similar to other Cenozoic mafic rocks occurring throughout the basin and range provence and are thought to have a common upper mantle origin (Leeman and Rogers, 1969; Christiansen and Lipman, 1972). Also contemporaneous with eruption of rhyolite and basalt is the eruption of crystal-rich rhyodacite along the caldera rim and moat. Textural and field relationships as well as discordant K/Ar dates on sani- dine and biotite for some samples suggest that these rocks are at least partially a product of mixing of a rhyolitic or rhyodacitic magma with the basalt magma (Bailey et al., 1976; Eichelberger and Gooley, 1977). Several stages of differentiation may also exist, as suggested by Bailey et al. (1976). The effect of these processes on the petrogenesis of the intermediate magma is unclear, however. The most recent volcanic products of Long Valley are the Inyo domes, a series of rhyolite-rhyodacite domes, related in time (12,000-720 y.b.p.; Dalrymple, 1967; Friedman, 1968; Wood, 1977) to the rhyolites of the Mono craters. The domes are chemically and petrogenetically heteroqeneous, consisting of rhyolite obsidian similar to the rhyolites of Mono craters and rhyodacite similar 105 to the earlier rim rhyodacites of Long Valley. These textures suggest an incomplete mixing of the two magmas. In summary, the Long Valley caldera was formed .7 m.y.b.p. during the eruption of the Bishop tuff. Volcanism continued within the caldera in the form of crystal-poor rhyolite flows and tuffs in conjunction with doming in the west-central area of the caldera. This was followed by eruption of three groups of rhyolites near the caldera most with higher amounts of H20 and phenocryst content. Contemporaneous with the last group of rhyolites, rhyodacites exhibiting disequilibrium crystallization textures were erupted along the caldera rim, and basalts were erupted in the caldera area in con- junction with basalt eruption in other areas. Recent eruption of rhyolite-rhyodacite in the caldera is similar to the volcanism at Mono craters to the north. The basaltic, rhyodacitic, and last of the three moat rhyolite sequences are suitable for age dating by the U/Th disequilibrium method, because they were erupted within the age range of the method (10,000-200,000 y.b.p.). They possess a sufficient number of phases, and they have undergone little alteration. In addition, U/Th dis- equilibrium dating of the rhyodacite phase of the Inyo dome holocene volcanics may reveal the presence of relic minerals of an older age than that given by K/Ar dating. 106 Sample Collection At the time sample collection was undertaken, it was assumed that the U/Th isotope analysis of at least 5 or 6 samples of felsic and mafic composition would be possible. Consequently, a sampling program was set up to define the compositional and isotopic changes exhibited within the caldera with composition and with time. Nine- teen samples averaging 10 kg each were collected from within the caldera (Figure 15 and Table 6). Six basalts were collected with as wide a spread in location and time as possible. Four rim rhyodacites were collected, two from the flanks of Mammoth Mountain and two from the summit of Mammoth Mountain. Six moat rhyolites were collected, one from the north-east, one from the south-east, and four from a wide variation of locations in the west, including one from a rhyolite dome (76A020). In addition, two early rhyolites were collected. Samples were taken from identical locations of samples used for K/Ar dates. Control was established using field maps and notes of B. Dalrymple and R. May. Samples were taken from fresh, unweathered surfaces when possible. Chemical and Petrographic Description Major element chemical data for the moat rhyolites is given in Table 5. The moat rhyolites are high in 107 .osooouoooo oasmuoom o.an>oo ..me~ .m ..mv .9 .a .m .x 32 .x mm .x 32 .xum: oqu no nuuo: odes H usuooou a aouu .Hooaoh no mean ouuoo uoc wwoomh mooneoao .m.n.>.a one. + mva. macOMh aoocoh meadoovoxnm Ed... .osmomuooso somsuuoz .ux...mo~ .x ..mn .9 .Nn .m .x 3m .x x: .m m no season .mocnumm uo: uuosuwnz uo 322 am. .oocusqom u>wuaauo :uoumoonuooa ecu cw 30au e Bonk I. .mummuooconm on non“ ouoa xauzunau umooxo .noocoh cameo» o» uoaaanu ouMHo>nu oauacmouua> .m.n.>.a oao. + own. mooomn H~o¢oo .uaocouousa camwuuox .uz ..mn~ .m ..mm .9 .NN .m .x 32 .x :2 .m m and mo noucou .noxuq nuanux mo nuke: vuuoOOH .oososqom o>num=uo opened; on» on deep ouaaoxnu m scum .uounaouoaa osmoacda one uneducauoam mo mumfimcoo xwuuofi one .omoHUmeuam mo num>uooconm sud: ouwao>£u oUMDOHQnovcoanuox .m.n.m.a moo. + ooa. hooomh owoaon .oamcauoulo oawmueom m.an>oo ..u- .s ..mm .9 .o .m .x mm .x mm .x 32 .cnoucsox noon «0 on.» 3m ago so .oosoovoo o>nudauo cuuunoa ecu scum .woouo nozuo a. can» ouwn ca nomad. one nuoxuooconm .oocoancuo: one .oosuosn .oooooo .oommosou no moosuoososm osoosono no.2 oussosso onussmouuno .ouns: .m.n.s.a ooo. + mas. ssoowh ososoe 6.9.9330 canauuo: .uz Tmm~ .m ..mm .9 .Nm .m 3. 3m .x mz .x mm .soscx manuoaot no 3mm .am.a .oocuavoa o>wumauo snounounuuoc on» a. soda e Ion» .sosoouooso uo moosm osoo ocssosm umooxo .moosoh 0» soasssa ounHossu onsssmouuns .ousss .m.o.s.s oao. + moo. asoome esoaoe .ososouoosa soonuuoz .u: ..mh~ .m ..mm .9 .ea .m .x mm .x 32 .x u: soon umooxo .noosos on snow .m.n.s.a ooo..H woo. oooows oooson .oaosouooso someone: .ux ..mh~ .a ..mn .e .5“ .m .x mm .x m: .x no .modi nuoaadz no nuuoc Haosx o Bouu ocuooaaou .eocosvon o>wumauo :uounea on» on 30am u louh .oocososoon oco .oonuoso .nuuooe .osnossom mo nonsuoosonm no.3 sunflosso onussmouuns .ouss: .m.n.>.s «oo. + nos. oooo~u noosoe nouaamxnm one: coauaooq one newumauouea cannon send u¢\u . c.02uwmmnum .oz damadm .ucOAumauouoo ounsamnu.o mamas 108 .co«n«ooum Heonuxaece com: oomen .co«ue«>oo oueoceum oco on cue u¢\x on» c« nouue Hecau>~e=4 ..co«ueo«csaaoo «encouem. eHQIhuden ..05mu. .He no 5euaen noun: C assuage: xoouusoo ..us~ .m ..m~ .a .mN .m .x m2 .x as no season .oooaun uo .eaoceuoeso .8 enql a. ocsoummseo annuam men we xoouo uo ouose .m aouu oouooaaou .eouwaou04l eaeauoaoeam undocsne neweucoo xauue: .ocoxouhm ocwueamou >Houoaqsoo uufiauuflbn .ocoxou50 co umcau sawuoeou mauou cocoancuou .nunmuoococm ocoxoumm one oueaoo~ueam vowed new: oneuen uensoanoa .anueuo .oamseuoeso connuuo: .u: ..u5~ .z ..ma .9 .Na .m .x :2 .x Hz .J a «0 uouceu .mon .u.a no .3 aaonx Haeau e Souk .nunhuoocosm uneducameam one ocoxouxm ooaenlu nun) uaeeen accede .oaoceuoeso sonnuuo: .ux ..un~ .m ..mn .e .H .m .x 32 .x 3m .x 3m .Hmob :- aouu ”Hoax Adela e co .nun5uooconm uneducaoeam one ocdxon>n Haeau nun: uaenen ueH:u«u9> ode aanenu 5H£o«= .393qu oceans. .ux rumw .u ..mn .9 .Hm .m .x mm .x :2 .x 3m .oossumm no: canons coco no em: use: a. neon». no new. .2 none .munxuoocozm uneducaoeam one .ocuuouam .u:u>wao eased sud) uueeen ue«:u«no> .oaoceuoeso sonauuox .u: ..Mm~ .m ..mm .9 .HM .m .x 3m .3 Hz .1 3m .naaa Ounewo .cueuonecuu eneo eeone sasoosnmoumnoouou .ooonumm no: canons once so am: as“: H.~ season .0 one. .2 noun oooooudoo .ooooo .53:st fies-sex uo pun-5.. Bonn .usuaoun ace 3 soaueuouae aesu umouxe .0835 ue ofiem educeuoeso oauaueom u.u«>ua .caeucao: zuolaa. no unison Bosh .nunhuoococm ouwuo«n oououae one uneducaoeam so»: euqoeooanu 5nneau .u:u«q .m.n.>.a .m.n.5.a .m.n.h.l amenehea eman0%0. eman0%e. onene>o. omufle>ea .Ho..n «on. 33 oo: mso..u no”. ooueo no: Mac. + N00. mno. + ONa. oosomma so «00. + 0Nd. ecaoaceu no «no. + 000. confines so 0N0. + moo. ocaoucea so 0H0. +.0m0. 0000n5 0000n5 n~00n5 vH00n5 NH00n5 NNOUn5 n~00n5 m~0¢w5 N~0¢O5 ~H0405 000¢05 500105 000105 nuances «use 0a0¢05 000105 109 silica, approximately the same amount as the early rhyolites. The moat rhyolites contained lower amounts of K20 and higher amounts of volatiles when compared to the early rhyolites. Thin-section petrographic analysis indicated that the early rhyolites were suitable for dating, though K/Ar data indicated that the north-east rhyolite group was too old to date by U/Th disequilibrium. None of the samples taken showed evidence of major alteration, and the glass in the flows was vitrophyric. Phenocrysts of sanidine (about 15% by volume), plagioclase (5-15%), lesser amounts of quartz, and biotite or hornblende (l-2%) were present. Phenocrysts averaged up to 5 mm in length. Minor fine-grained magnetite was also present. Glomero- porphyritic textures were uncommon. Sample 76A020, collected on a rhyolite dome, was slightly different, with a matrix of plagioclase and sanidine microlites, with no void space. Plagioclase phenocrysts were zoned, and plagioclase rather than sanidine was the primary phenocryst phase. The last basalts analyzed were similar in compo- sition to other basin and range basalts. Two types were present, quartz normative tholeiite, represented by sample 76A006, and olivine normative basalt, represented by sample 76A018. 110 Thin-section petrographic analysis indicated that the basalts were suitable for U/Th dating, though mineral separation could be difficult due to the fine grain size. The basalts were fine grained, usually with abundant glass. Pyroxene was the predominant mineral phase, occupying 5-20% of the whole rock. Minor amounts of olivine were observed in some samples. Hornblende was found in all samples, in places as reaction rings on pyroxene. Mafic phenocrysts were generally less than 1 mm in length, though larger in some samples (76A008, 76A018). The matrix consisted of roughly equal amounts of andesine plagioclase microlites less than .5 mm and glass, with 1-5% fine-grained magnetite. Only minor amounts of alteration were present. Sample 76A018, from the north moat, was slightly different. It contained 10% plagioclase (An 35) phenocrysts, in addition to pyroxene, and the matrix was almost totally crystallized. The crystallized matrix consisted of 70% andesine plagioclase microlites, 10% pyroxene, and minor amounts of hematite, magnetite, and glass. Chemical analysis of the rim rhyodacites indi- cated that the rhyodacites were of intermediate composi- tion and show some chemical variation. Sample 76A010, from the summit of Mammoth Mountain, was richer in silica, K O, and volatiles while poorer in Fe O 2 2 3' 2 CaO, and MgO. This may have been due to hydrothermal TiOz, Na 0, alteration. 111 The mineralogical composition of the rim rhyoda- cites varied, but they generally contained 10-20% zoned plagioclase, 15% or less hornblende, and varied amounts of augite, hypersthene, biotite, magnetite, sanidine, quartz, and olivine in some places. Reaction rings and embayed reaction surfaces were prevalent. The matrix consisted of high Fe glass with varied amounts of plagioclase microlites. In some samples, the groundmass exhibited a heterogeneous flow banded texture. Alteration was present in some areas (76A009). APPENDIX II CALCULATION OF ANALYTICAL ERROR 112 APPENDIX II CALCULATION OF ANALYTICAL ERROR The number of alpha-decays produced or counted in a given time always follows the Poisson distribution, N (No) W(N) = N! exp (-No) which approximates a Gaussian distribution in N is large (Jenkins and DeVries, 1969). The standard deviation (0) of the distribution is equal to No or approximately equal to N. This means that, neglecting background effects, the standard deviation of: 100 counts is i 10 counts, or i 10%: 1,000 counts is i 31.7 counts, or i 3.17%; 10,000 counts is i 100 counts, or i 1%. With this relationship as a rule of thumb, an effort was made to count until 1000 decays had accumulated under each peak to be counted. Samples used for calibration were counted until 10,000 decays had accumulated under each analyzed peak. Since N = RT where R is the activity and T is the counting time, 0 (R) _ o (N) R N 113 114 if 0 (T) is considered negligible. Therefore, -5 o (R) — T' There is a similar error associated with the counts due to background. When the background is subtracted from the total count rate, the errors are propagated accord- ing to: o 2 o 2 s Rb where: CT = error in corrected activity as = error in sample activity ab = error in background activity' RS = sample activity = background activity since a = g , this may be reduced to: o.=/ sample count time 6' an” silo?” filo?" m where: T s Th = background count time T = error in the sample activity 115 The first term expresses the uncertainty in the total activity. The second term is an expression of the un- certainty in the background activity calculated from the background runs. The third term expresses the uncer- tainty in the number of background counts contribution to the sample activity. Error in activity ratios are propagated according to: 2 2 A 0A 0B 0 = / //<-) + (-—0 A/B B RA RE where: p73 is the activity ratio R A' RB are the act1V1t1es OA' OB are the errors It should be noted that all errors of isotope activities or ratios discussed are 1 standard deviation, or at the 68.3% confidence level. All errors are approximately twice as large at the 95% confidence level. 230Th/ 232T the method suggested by Allegre (1968) and Kigoshi (1967). Ages and ( h)o ratios are calculated by The slope (b1) of the regression line is calculated by a least-squares linear regression in two dimensions, 238 232 234 232 230Th/ 232T using U/ Th or U/ Th as X and h as Y: 116 b = 2(Xi - X) (Yi - Y) — 2 Z(Xi - X) The Y-intercept (be) is calculated as: b =-l—(2Y.-b n l EX.) 0 1 1 The (230Th/ 232 Th)o value is the point where the isochron meets the equiline, or X = Y for the isochron. Error in the slope is calculated as: 2 _. 3(b1)’ _2 s(b1) is distributed as t with n-2 degrees of freedom. This means that s(b1) cannot be treated as one standard deviation of a Gaussian distribution, which is the way most errors associated with isotope ratios and K-Ar dates are expressed. Direct comparison may be made by comparing similar confidence intervals, however. 230Th/ 232T estimating a confidence interval at h, the h) ratio was found by 2380/ 232Th Error in the ( 0 value at the intersection of the isochron and equiline: 117 These positive and negative values were then extrapolated parallel to the isochron until they intersected the 230T 232 equiline. The difference between the h/ Th ratios at these points was then divided by two and used as the 230Th/ 232T The age of the sample is related to the slope of error associated with the ( h)o ratio. isochron by: where 10 = decay constant of 230Th. The sample age does not vary linearly with the isochron slope, with more variation in age for a given change in slope as the sample is older. Since the error in the slope is symmetric around b1, the calculated lower age limit is closer to the calculated age than the upper limit. These ages have been averaged by calculating ages for the upper and lower slope limits, taking the difference, and dividing by two. Sample Calculation (1) Raw counts were calculated from instrument read-outs as follows: 238U 1350 235U _ 238 U / 21.7 62 118 234 234 235 u = u - u = 1382 - 62 = 1320 raw 232U = 1272 232Th 2117 230Th = 2327 _ 224 _ 224 224Ra ‘ Raraw ( Rabackground activity) (Th ) count time = 667 - (.1597) (1479) = 431 224 hraw - ( Ra) (.06) 228 228T Th = = 4587 - 26 = 4561. (2) Raw counts were converted to counts per minute: 238U = 238 / 238 cpm counts U count time (minutes) 1350 / 953.07 = 1.4165 cpm 238Th = 238Th / 233 Th cpm counts count time (minutes) = 2117 / 1479 = 1.4314 cpm. all other activities were treated in a similar manner . (3) Background activity was subtracted: 238 _ 238 _ 238 U — Usample Ubackground 1.4165 - .0240 = 1.225cpm 119 all other activities were treated in a similar manner . (4) 228Th activity was corrected for decay of unsupported 228Th as follows: 228Th = (228Th ) e‘zzat uncorrected 228 (9 927x10’4 d-1)(18d) Th = (2.7690 cpm) e ' 228Th = 2.8217 (55) Error in sample activity was calculated as follows: 233 238 238 U Ub d Ub d 0238 = t + —E_—g_. + _—-t—_L U bgd U 1.225 .0240 .0240 953.07 + 2633733 I 933267“: '0352 C9“ other activities are calculated similarly. ((5) 228Th activity due to spike addition was calculated as follows: 228 _ 228 23 232 Thspike — Th- n 2Th)(228Th/ Th) unspiked 228T /232 h Th ratio in an unspiked sample is usually 1. ‘71 (7) 120 2.8217 - (1.4197)(1) = 1.4020 cpm error: spike = //( 228)2 + ( 232)2 O228 _ / 2 2 _ - (.0450) + (.0314) — .0549 cpm 230Th/ 232Th activity ratio was calculated as follows: 23°Th = 1.5088 = 1 063 232Th 1.4197 errOr: 0 = 2”Th //1 °230)2 + ( 0232)2 230 232 230 232 232 Th Th Th = 1 186 //, .0337)7 + ( .0314_§ _ 034 ° 1. 5088 1. 4197’ ‘ ° 2340/ 238 228 232 U, Th/ Th ratios are calculated in the same manner. 121 (8) 238U/ 232Th activity ratio was calculated as follows: 238U = 238U x 228Th spike x S ike 232 232 232 9 Th Th U 238 U _ 1.1225 1.4020 = 232 ‘ (1.4197) (1.3176) ('998) '82? Th spike = measured 232U/ 228Th ratio in spike calibration associated error: 2 2 2' 238 o o o .- _ 0238/232 = 2322”'//<2§%§’ + (232229 + (22:28 spike) Th U Th Th spike o 2 a 2 + ( 232) + ( spike) 232U spike .0352 2 .0314 2 .0549 2 .0378 2 = '825 //FfiITZZ? + fiiiififi' * 9:352? + fiifiififi 2 .02 _ + (.998) "' 0054. 2340/ 232Th ratio was calculated in the same manner . 122 (9) Sample yield was calculated as follows: 232 . _ U = .11 1.3176 cpm % yield — —-—————(SU) (X) x 100 (12.76 CPR/m1)(.2 ml) x100 = 26% SU = measured activity of 1 ml concentrated spike X II amount of concentrated spike added to the sample. Th yield was calculated in the same manner. (10) Uranium concentration was calculated as follows: (2320) (c) U concentration (ppm) (% yield) (sample weight) (1.3176 cpm)(12.01 g/cpm) (26%)(5.3 g) 10 ppm WWIllllfllHlH 6241 1 1| vmo mm3 u“0 Em