云开地区燕山晚期花岗岩的岩石成因及构造意义: 锆石U-Pb年龄及Hf同位素证据

杨振; 刘锐; 王新宇; 周国发

doi:10.3799/dqkx.2014.108

云开地区燕山晚期花岗岩的岩石成因及构造意义: 锆石U-Pb年龄及Hf同位素证据

doi: 10.3799/dqkx.2014.108

杨振^1,,
刘锐¹,
王新宇^{2, 3},
周国发³

1.
中国地质大学资源学院, 湖北武汉 430074
2.
中国地质大学地球科学学院, 湖北武汉 430074
3.
广西壮族自治区地质勘查总院, 广西南宁 530023

基金项目:

中央高校基本科研业务费专项资金 CUGL120256

国家自然科学基金青年科学基金 41002025

中央高校基本科研业务费专项资金优秀青年教师特色学科团队 CUG120702

广西壮族自治区地质勘查院地质科研合作项目 201002

详细信息

作者简介:
杨振(1979-), 男, 讲师, 主要从事矿床学和岩石学研究.E-mai: yangzhyf2007@hotmail.com

中图分类号: P581
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出版历程
- 收稿日期: 2014-01-15
- 刊出日期: 2014-09-01

Petrogenesis and Tectonic Significance of Late Yanshanian Granites in Yunkai Area, Southeast China: Evidence from Zircon U-Pb Ages and Hf Isotopes

Yang Zhen^1
,,
Liu Rui¹,
Wang Xinyu^{2, 3},
Zhou Guofa³

1.
Faculty of Earth Resources, China University of Geosciences, Wuhan 430074, China
2.
Faculty of Earth Sciences, China University of Geosciences, Wuhan 430074, China
3.
Guangxi Institute of Geological Survey, Nanning 530023, China

摘要

摘要: 相比较丰富的前寒武纪和早古生代地质记录, 云开地区燕山晚期花岗岩类分布很少, 且未见详细的研究报道.对云开地区广西陆川米场、三叉冲钨矿床以及松旺钨锡钼矿床等3个典型地区的燕山晚期花岗岩进行了系统的LA-MC-ICP-MS锆石U-Pb和Lu-Hf同位素研究.定年结果表明, 米场黑云母花岗岩、三叉冲黑云母花岗岩和松旺花岗岩的侵位年龄分别为113±1 Ma, 103±1 Ma和88±1 Ma, 为燕山晚期岩浆作用的产物.三叉冲黑云母花岗岩和松旺花岗岩具有较一致锆石ε_Hf(t)值(分别为-5.2~-2.7和-5.2~-3.6)和二阶段模式年龄T_DM2(分别为1.3~1.5 Ga和1.4~1.5 Ga), 指示为中元古代地壳物质再造的产物.米场黑云母花岗岩具有相对较高的ε_Hf(t)值(-2.3~1.4)和T_DM2(1.1~1.3 Ga), 并且其含有大量的镁铁质微粒包体(MME), 表明米场黑云母花岗岩很可能是壳源-幔源岩浆混合的产物.结合中国东南部构造-岩浆演化来看, 云开地区燕山晚期花岗岩的形成可能与白垩纪时太平洋板块向华南板块俯冲后板片的折返-断离有关.
- 锆石U-Pb年龄 /
- 地质年代学 /
- Hf同位素 /
- 燕山晚期 /
- 云开地区 /
- 地球化学
Abstract: Compared with abundant Precambrian and Early Paleozoic geological records in the Yunkai area, southeast China, Late Yanshanian granitoids are sparsely distributed in the area and are thus reported less. In this study, we present LA-MC-ICP-MS U-Pb age and Hf isotope data of zircons from three representative granites in the Yunkai area, southeastern Guangxi, each from the Michang area, Sanchachong W and Songwang W-Sn-Mo deposits respectively. Zircon U-Pb results indicate that all the granites were formed in Late Yanshanian period, with emplacement ages of 113±1 Ma (Michang biotite granite), 103±1 Ma (Sanchachong biotite granite) and 88±1 Ma (Songwang granite) respectively. The Sanchachong biotite granite and Songwang granite have consistent zircon ε_Hf(t) values (-5.2 to -2.7 and -5.2 to -3.6 respectively) and two-stage Hf modal ages (T_DM2) (1.3-1.5 Ga and 1.4-1.5 Ga respectively), indicating that they were formed by reworking of Mesoproterozoic juvenile crust; whereas the Michang biotite granite has relatively higher zircon ε_Hf(t) values of -2.3 to 1.4 and corresponding T_DM2 of 1.1-1.3 Ga, which, combined with widespread microgranular mafic enclaves (MMEs) in the granite, suggests that it was formed by mixing of crust- and mantle-derived magmas. In combination of Mesozoic tectono-magmatic evolution in southeast China, the Late Yanshanian magmatism in the Yunkai area was likely related to the rollback and break-off of the subducted Pacific plate during the Cretaceous.
- zircon U-Pb age /
- geochronology /
- Hf isotope /
- Late Yanshanian /
- Yunkai area /
- geochemistry

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图 1 华南板块东南部地质简图(a)和云开地区地质简图(b)(据Wang et al., 2011修改)

Fig. 1. Simplified geological map showing the Yanshanian granitoids in the southeastern South China Block and the Precambrian basement in the Cathaysia Block (a) and simplified geological map of the Yunkai area (b)

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图 2 云开地区燕山晚期花岗岩的野外地质、样品及镜下特征

a.米场黑云母花岗岩中含有大量的镁铁质微粒包体; b.米场黑云母花岗岩显示典型的花岗结构; c.三叉冲黑云母花岗岩岩心样品; d.三叉冲黑云母花岗岩的镜下特征，局部可见黑云母绿泥石化，斜长石绢云母化; e.松旺花岗岩岩心样品; f.松旺花岗岩镜下特征，显示强烈的蚀变特征.矿物代号据Whitney and Evans, 2000

Fig. 2. Field geological, sample and microscopic characteristics of the Late Yanshanian granites in the Yunkai area

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图 3 米场黑云母花岗岩样品MC02中锆石代表性阴极发光(CL)图像和锆石U-Pb年龄谐和图

左图中的实线圈是定年点，虚线圈是Hf同位素分析点；小圈中的数据是年龄值，大圈中的数据是以结晶年龄t计算得到的ε_Hf(t)值；小圈和大圈的直径分别为32 μm和44 μm，下同

Fig. 3. Cathodoluminescence (CL) images of representative zircons in sample MC02 and concordia diagrams of LA-ICPMS zircon U-Pb data

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图 4 三叉冲黑云母花岗岩样品SC07中锆石代表性阴极发光(CL)图像和锆石U-Pb年龄谐和图

Fig. 4. Cathodoluminescence (CL) images of representative zircons in sample SC07 and concordia diagrams of LA-ICP-MS zircon U-Pb data

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图 5 松旺花岗岩样品SW08中锆石代表性阴极发光(CL)图像和U-Pb年龄谐和图

Fig. 5. Cathodoluminescence (CL) images of representative zircons in sample SW08 and concordia diagrams of LA-ICP-MS zircon U-Pb data

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图 6 云开地区燕山晚期花岗岩中锆石的ε_Hf(t)值和二阶段Hf模式年龄T_DM2频谱

Fig. 6. Zircon ε_Hf(t) values and two stage Hf model ages (T_DM2) for granite samples from the Yunkai area

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图 7 云开地区燕山晚期花岗岩中锆石的ε_Hf(t)-t关系

Fig. 7. Relation of zircon ε_Hf(t) values versus U-Pb ages for granite samples from the Yunkai area

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图 8 中国东南部燕山期岩浆岩同位素年龄频谱图(引自Li et al., 2010a)

Fig. 8. Histograms and cumulative probability plots of isotopic ages for Yanshanian igneous rocks in SE China

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表 1 云开地区燕山晚期花岗岩LA-ICP-MS锆石U-Pb测定结果

Table 1. LA-ICP-MS U-Pb data for zircons from the Late Yanshanian granites in the Yunkai area, southeast China

点号	Th(μg·g^-1)	U(μg·g^-1)	Th/U	²⁰⁷Pb/²⁰⁶Pb	1σ	²⁰⁷Pb/²³⁵U	1σ	²⁰⁶Pb/²³⁸U	1σ	²⁰⁷Pb/²⁰⁶Pb(Ma)	1σ	²⁰⁷Pb/²³⁵U(Ma)	1σ	²⁰⁶Pb/^238U(Ma)	1σ
米场黑云母花岗岩(MC02)22°24'45.3"N, 110°15'13.1"E
1	1 569	4 884	0.32	0.047 94	0.001 94	0.114 56	0.004 42	0.017 30	0.000 19	95	96	110	4	111	1
2	861	4 355	0.20	0.047 92	0.001 71	0.120 37	0.004 30	0.018 06	0.000 20	95	83	115	4	115	1
3	1 565	5 366	0.29	0.048 61	0.001 72	0.117 63	0.004 12	0.017 46	0.000 16	128	83	113	4	112	1
4	907	3 863	0.23	0.049 49	0.002 03	0.121 82	0.004 95	0.017 91	0.000 22	172	96	117	4	114	1
5c	102	231	0.44	0.06654	0.005 46	0.973 51	0.073 24	0.109 43	0.002 37	833	172	690	38	669	14
6	1 040	4 046	0.26	0.049 20	0.001 97	0.121 06	0.004 76	0.017 89	0.000 20	167	97	116	4	114	1
7	1 050	5 840	0.18	0.046 24	0.001 54	0.114 78	0.003 83	0.017 91	0.000 18	9	78	110	3	114	1
8	219	1 446	0.15	0.055 30	0.003 18	0.136 47	0.007 99	0.017 80	0.000 27	433	123	130	7	114	2
9	1 689	5 643	0.30	0.047 39	0.001 93	0.117 11	0.004 76	0.017 85	0.000 22	78	87	112	4	114	1
10	1 444	5 523	0.26	0.047 86	0.001 88	0.119 53	0.004 63	0.018 01	0.000 20	100	83	115	4	115	1
11	1 093	4 690	0.23	0.048 84	0.001 89	0.119 34	0.004 62	0.017 65	0.000 20	139	86	114	4	113	1
12	1 775	5 475	0.32	0.061 56	0.002 23	0.152 46	0.005 47	0.017 78	0.000 18	657	78	144	5	114	1
13c	1 151	3 709	0.31	0.050 22	0.002 06	0.138 26	0.006 04	0.019 79	0.000 35	206	96	131	5	126	2
14	832	4 127	0.20	0.047 66	0.001 81	0.116 51	0.004 46	0.017 66	0.000 20	83	85	112	4	113	1
15	869	3 745	0.23	0.052 74	0.002 24	0.125 72	0.005 14	0.017 21	0.000 18	317	98	120	5	110	1
16	1 264	5 048	0.25	0.046 64	0.001 66	0.113 82	0.004 02	0.017 61	0.000 18	32	91	109	4	113	1
三叉冲黑云母花岗岩(SC07)22°18'08.9"N, 110°10'05.7"E
1	304	2 358	0.13	0.051 72	0.002 60	0.117 09	0.006 08	0.016 24	0.000 22	272	115	112	6	104	1
2	618	1 851	0.33	0.050 01	0.002 97	0.112 95	0.006 42	0.016 47	0.000 28	195	139	109	6	105	2
3c	358	1 367	0.26	0.056 27	0.002 64	0.256 67	0.017 38	0.030 98	0.001 52	461	106	232	14	197	9
4	543	4 737	0.11	0.046 96	0.001 87	0.102 83	0.003 99	0.015 79	0.000 17	56	83	99.4	3.7	101	1
5	200	920	0.22	0.060 63	0.004 30	0.131 69	0.009 56	0.015 95	0.000 34	628	154	126	9	102	2
6	582	1 951	0.30	0.051 18	0.003 14	0.112 48	0.006 54	0.016 11	0.000 24	256	141	108	6	103	2
7	897	3 178	0.28	0.049 38	0.002 32	0.107 55	0.004 77	0.015 99	0.000 20	165	109	104	4	102	1
8	612	3 327	0.18	0.049 72	0.002 13	0.109 70	0.004 51	0.015 94	0.000 18	189	100	106	4	102	1
9	624	2 638	0.24	0.048 80	0.002 68	0.109 38	0.005 91	0.016 33	0.000 22	139	-69	105	5	104	1
10	1 185	2 505	0.47	0.046 44	0.002 23	0.103 85	0.004 87	0.016 30	0.000 21	20	111	100	4	104	1
11	783	2 797	0.28	0.048 16	0.002 33	0.107 74	0.005 03	0.016 24	0.000 20	106	111	104	5	104	1
12	532	2 541	0.21	0.047 46	0.002 68	0.106 98	0.005 87	0.016 40	0.000 29	72	139	103	5	105	2
13c	383	384	1.00	0.080 83	0.002 97	2.254 76	0.080 82	0.201 13	0.002 49	1 218	72	1 198	25	1 181	13
14	338	1 858	0.18	0.051 39	0.003 09	0.115 03	0.006 62	0.016 36	0.000 25	257	134	111	6	105	2
15	357	1 279	0.28	0.061 05	0.006 82	0.138 09	0.016 05	0.016 25	0.000 25	643	238	131	14	104	2
松旺花岗岩(SW08)21°53'32.8"N, 109°45'01.0"E
1	151	241	0.63	0.100 71	0.013 63	0.179 77	0.028 16	0.012 95	0.000 51	1 637	253	168	24	83	3
2c	416	2 011	0.21	0.052 62	0.002 17	0.328 45	0.014 35	0.045 37	0.000 65	313	90	288	11	286	4
3	393	683	0.58	0.062 38	0.006 33	0.115 15	0.013 36	0.013 39	0.000 38	687	213	111	12	86	2
4	302	498	0.61	0.079 45	0.007 12	0.150 63	0.015 57	0.013 75	0.000 38	1 183	173	142	14	88	2
5	215	393	0.55	0.082 43	0.011 11	0.151 61	0.023 14	0.013 34	0.000 48	1 256	270	143	20	85	3
6	200	246	0.82	0.101 32	0.013 57	0.187 73	0.029 88	0.013 44	0.000 58	1 649	250	175	26	86	4
7	1 132	961	1.18	0.046 10	0.005 33	0.084 37	0.010 64	0.013 27	0.000 29	3	216	82	10	85	2
8	285	463	0.61	0.090 27	0.006 74	0.152 14	0.012 16	0.013 53	0.000 38	1 431	139	144	11	87	2
9	416	684	0.61	0.059 95	0.008 86	0.111 50	0.017 63	0.013 49	0.000 32	602	315	107	16	86	2
10	1 661	1 062	1.56	0.055 66	0.003 00	0.107 86	0.006 20	0.014 40	0.000 29	439	116	104	6	92	2
11	1 199	956	1.25	0.046 71	0.006 26	0.087 60	0.012 86	0.013 60	0.000 36	35	246	85	12	87	2
12	166	257	0.65	0.079 29	0.015 83	0.136 17	0.030 53	0.012 46	0.000 52	1 179	415	130	27	80	3
13	301	458	0.66	0.063 73	0.009 90	0.120 31	0.020 71	0.013 69	0.000 45	733	324	115	19	88	3
14	2 377	1 283	1.85	0.047 21	0.005 34	0.090 15	0.011 29	0.013 85	0.000 27	60	220	88	11	89	2
15c	172	655	0.26	0.067 11	0.002 91	0.431 51	0.019 72	0.046 40	0.000 68	841	88	364	14	292	4
16c	958	1 281	0.75	0.067 11	0.003 15	0.431 51	0.019 72	0.046 40	0.000 68	2 628	54	2 392	31	2 098	26
17	1 326	970	1.37	0.046 56	0.004 51	0.088 69	0.009 49	0.013 81	0.000 27	27	194	86	9	88	2
18	2 165	1 300	1.67	0.051 65	0.004 46	0.099 38	0.008 75	0.014 09	0.000 25	270	187	96	8	90	2
19	1 392	952	1.46	0.056 57	0.005 52	0.108 28	0.010 75	0.013 86	0.000 26	475	211	104	10	89	2
20	151	241	0.63	0.100 71	0.013 63	0.179 77	0.028 16	0.012 95	0.000 51	1 637	253	168	24	83	3
松旺花岗岩(SW08)21°53'32.8"N, 109°45'01.0"E
1	151	241	0.63	0.100 71	0.013 63	0.179 77	0.028 16	0.012 95	0.000 51	1 637	253	168	24	83	3
2c	416	2 011	0.21	0.052 62	0.002 17	0.328 45	0.014 35	0.045 37	0.000 65	313	90	288	11	286	4
3	393	683	0.58	0.062 38	0.006 33	0.115 15	0.013 36	0.013 39	0.000 38	687	213	111	12	86	2
4	302	498	0.61	0.079 45	0.007 12	0.150 63	0.015 57	0.013 75	0.000 38	1 183	173	142	14	88	2
5	215	393	0.55	0.082 43	0.011 11	0.151 61	0.023 14	0.013 34	0.000 48	1 256	270	143	20	85	3
6	200	246	0.82	0.101 32	0.013 57	0.187 73	0.029 88	0.013 44	0.000 58	1 649	250	175	26	86	4
7	1 132	961	1.18	0.046 10	0.005 33	0.084 37	0.010 64	0.013 27	0.000 29	3	216	82	10	85	2
8	285	463	0.61	0.090 27	0.006 74	0.152 14	0.012 16	0.013 53	0.000 38	1 431	139	144	11	87	2
9	416	684	0.61	0.059 95	0.008 86	0.111 50	0.017 63	0.013 49	0.000 32	602	315	107	16	86	2
10	1 661	1 062	1.56	0.055 66	0.003 00	0.107 86	0.006 20	0.014 40	0.000 29	439	116	104	6	92	2
11	1 199	956	1.25	0.046 71	0.006 26	0.087 60	0.012 86	0.013 60	0.000 36	35	246	85	12	87	2
12	166	257	0.65	0.079 29	0.015 83	0.136 17	0.030 53	0.012 46	0.000 52	1 179	415	130	27	80	3
13	301	458	0.66	0.063 73	0.009 90	0.120 31	0.020 71	0.013 69	0.000 45	733	324	115	19	88	3
14	2 377	1 283	1.85	0.047 21	0.005 34	0.090 15	0.011 29	0.013 85	0.000 27	60	220	88	11	89	2
15c	172	655	0.26	0.067 11	0.002 91	0.431 51	0.019 72	0.046 40	0.000 68	841	88	364	14	292	4
16c	958	1 281	0.75	0.067 11	0.003 15	0.431 51	0.019 72	0.046 40	0.000 68	2 628	54	2 392	31	2 098	26
17	1 326	970	1.37	0.046 56	0.004 51	0.088 69	0.009 49	0.013 81	0.000 27	27	194	86	9	88	2
18	2 165	1 300	1.67	0.051 65	0.004 46	0.099 38	0.008 75	0.014 09	0.000 25	270	187	96	8	90	2
19	1 392	952	1.46	0.056 57	0.005 52	0.108 28	0.010 75	0.013 86	0.000 26	475	211	104	10	89	2
20	151	241	0.63	0.100 71	0.013 63	0.179 77	0.028 16	0.012 95	0.000 51	1 637	253	168	24	83	3
注: c表示继承锆石核.

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表 2 云开地区燕山晚期花岗岩中锆石LA-MC-ICP-MS Hf同位素测定结果

Table 2. Hafnium isotope analyses of zircons from the Late Yanshanian granites in the Yunkai area, southeast China

序号	¹⁷⁶Hf/¹⁷⁷Hf	±2σ	¹⁷⁶Lu/¹⁷⁷Hf	¹⁷⁶Yb/¹⁷⁷Hf	ε_Hf(t)^a	±2σ	T_DM1(Ma)	±2σ	T_DM2(Ma)	±2σ	U-Pb分析点
米场黑云母花岗岩(MC02)
1	0.282 666	0.000 008	0.001 863	0.049 169	-1.4	0.3	850	22	1 260	35	1
2	0.282 664	0.000 007	0.001 749	0.046 481	-1.5	0.2	850	20	1 263	31	2
3	0.282 659	0.000 007	0.001 184	0.032 406	-1.6	0.2	844	20	1 271	32	3
4	0.282 640	0.000 007	0.001 206	0.033 077	-2.3	0.2	872	20	1 314	31	4
5	0.282 670	0.000 007	0.001 159	0.031 322	-1.2	0.3	829	21	1 247	33	6
6	0.282 654	0.000 008	0.000 522	0.013 455	-1.7	0.3	838	21	1 281	34	7
7	0.282 645	0.000 008	0.001 275	0.034 986	-2.1	0.3	866	24	1 303	37	8
8	0.282 665	0.000 007	0.001 981	0.053 591	-1.5	0.2	855	19	1 262	30	9
9	0.282 644	0.000 007	0.001 083	0.029 848	-2.1	0.3	864	21	1 306	33	10
10	0.282 684	0.000 007	0.001 856	0.050 236	-0.8	0.2	824	20	1 219	31	12
11	0.282 658	0.000 007	0.001 133	0.031 479	-1.6	0.3	845	20	1 274	32	14
12	0.282 692	0.000 009	0.001 537	0.039 525	-0.5	0.3	806	25	1 200	39	16
13	0.282 746	0.000 008	0.002 065	0.058 448	1.4	0.3	739	22	1 081	34	15
14	0.282 685	0.000 008	0.001 619	0.045 048	-0.7	0.3	818	23	1 216	36	11
三叉冲黑云母花岗岩(SC07)
1	0.282 621	0.000 008	0.001 751	0.052 075	-3.2	0.3	913	24	1 366	37	1
2	0.282 585	0.000 007	0.001 396	0.040 504	-4.4	0.3	955	21	1 444	33	2
3	0.282 619	0.000 008	0.001 381	0.039 415	-1.3	0.3	906	24	1 314	37	3
4	0.282 611	0.000 006	0.001 490	0.043 578	-3.5	0.2	920	18	1 387	28	4
5	0.282 611	0.000 008	0.001 357	0.040 013	-3.5	0.3	917	24	1 387	37	5
6	0.282 635	0.000 009	0.001 458	0.041 999	-2.7	0.3	886	25	1 334	39	6
7	0.282 607	0.000 007	0.001 473	0.043 716	-3.7	0.2	926	19	1 396	30	7
8	0.282 626	0.000 006	0.001 723	0.050 824	-3.0	0.2	904	18	1 353	28	8
9	0.282 568	0.000 006	0.001 266	0.038 634	-5.0	0.2	976	17	1 482	27	9
10	0.282 617	0.000 008	0.001 427	0.043 266	-3.3	0.3	910	22	1 373	35	10
11	0.282 203	0.000 010	0.000 829	0.026 779	6.2	0.4	1 474	28	1 628	44	13
12	0.282 563	0.000 007	0.001 284	0.037 851	-5.2	0.2	984	20	1 494	31	12
13	0.282 570	0.000 006	0.000 949	0.028 518	-4.9	0.2	965	16	1 476	26	11
14	0.282 615	0.000 007	0.001 758	0.051 455	-3.4	0.3	921	21	1 378	33	14
15	0.282 594	0.000 006	0.001 244	0.036 480	-4.1	0.2	939	18	1 424	28	15
松旺花岗岩(SW08)
1	0.282 603	0.000 008	0.001 435	0.043 672	-4.1	0.3	930	23	1 412	37	20
2	0.282 602	0.000 008	0.001 708	0.051 302	-4.2	0.3	939	24	1 416	37	19
3	0.282 613	0.000 006	0.001 433	0.043 770	-3.8	0.2	916	17	1 391	27	18
4	0.282 591	0.000 008	0.001 331	0.041 517	-4.5	0.3	945	23	1 439	37	17
5	0.281 310	0.000 010	0.000 506	0.013 333	6.4	0.4	2 678	27	2 708	43	16c
6	0.282 572	0.000 007	0.001 419	0.043 717	-5.2	0.3	974	21	1 482	33	7
7	0.282 610	0.000 007	0.000 625	0.019 498	-3.8	0.2	901	19	1 395	30	14
8	0.282 591	0.000 007	0.000 445	0.013 804	-4.5	0.2	923	19	1 437	31	13
9	0.282 617	0.000 006	0.001 470	0.045 928	-3.6	0.2	911	17	1 381	26	12
10	0.282 597	0.000 009	0.000 489	0.015 190	-4.3	0.3	916	25	1 424	40	11
11	0.282 612	0.000 008	0.000 766	0.025 093	-3.8	0.3	901	21	1 391	34	9
12	0.282 594	0.000 009	0.000 818	0.026 854	-4.4	0.3	928	24	1 431	39	6
13	0.282 599	0.000 014	0.000 790	0.024 339	-4.2	0.5	920	40	1 420	64	1
14	0.282 585	0.000 007	0.000 647	0.020 822	-4.7	0.3	936	20	1 451	32	3
15	0.282 602	0.000 008	0.000 630	0.020 282	-4.1	0.3	912	22	1 412	35	4
注：a初始Hf同位素比值ε_Hf(t)以锆石结晶年龄t计算(详见文中).

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