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Article(id=1241768042577858836, tenantId=1146029695717560320, journalId=1235980550691926019, issueId=1241768035548205179, articleNumber=null, orderNo=null, doi=10.3969/j.issn.0253-6099.2024.01.014, pmid=null, cstr=null, oa=null, hot=null, price=null, onlineType=0, articleFormat=0, articleType=null, articleTypeStr=null, receivedDate=1694275200000, receivedDateStr=2023-09-10, revisedDate=null, revisedDateStr=null, acceptedDate=null, acceptedDateStr=null, onlineDate=1773990172285, onlineDateStr=2026-03-20, pubDate=1706716800000, pubDateStr=2024-02-01, doiRegisterDate=null, doiRegisterDateStr=null, onlineIssueDate=1773990172285, onlineIssueDateStr=2026-03-20, onlineJustAcceptDate=null, onlineJustAcceptDateStr=null, onlineFirstDate=null, onlineFirstDateStr=null, sourceXml=null, magXml=null, createTime=1773990172285, creator=13701087609, updateTime=1773990172285, updator=13701087609, issue=Issue{id=1241768035548205179, tenantId=1146029695717560320, journalId=1235980550691926019, year='2024', volume='44', issue='1', pageStart='1', pageEnd='178', issueExtLink='null', onlineDate='null', pubDate='null', beforeIssueId=null, nextIssueId=null, price=null, status=1, issueComplete=1, articleOrder=1, issueType=-1, specialIssue=null, createTime=1773990170609, creator=13701087609, updateTime=1773993209826, updator=13701087609, preIssue=null, nextIssue=null, ext={EN=IssueExt(id=1241780783011140021, tenantId=1146029695717560320, journalId=1235980550691926019, issueId=1241768035548205179, language=EN, specialIssueTitle=, coverIllustrator=null, specialIssueEditor=, specialIssueAbout=), CN=IssueExt(id=1241780783015334326, tenantId=1146029695717560320, journalId=1235980550691926019, issueId=1241768035548205179, language=CN, specialIssueTitle=, coverIllustrator=null, specialIssueEditor=, specialIssueAbout=)}, issueFiles=null}, startPage=60, endPage=67, ext={EN=ArticleExt(id=1241768044595319099, articleId=1241768042577858836, tenantId=1146029695717560320, journalId=1235980550691926019, language=EN, title=Kinetics and Thermodynamics of Oleate Ion Adsorption on Fluorapatite and Dolomite, columnId=1236276106932842717, journalTitle=Mining and Metallurgical Engineering, columnName=MINERAL PROCESSING, runingTitle=null, highlight=null, articleAbstract=

The kinetics and thermodynamics of oleate ion adsorption on the surface of fluorapatite and dolomite were studied by adopting TOC measurement and molecular simulation. The study on kinetics of adsorption shows that with HEDP as the depressant, the adsorption rate of oleate ions on fluorapatite is greater than on dolomite, and the adsorption on both minerals conforms to the quasi-second-order kinetic model. Furthermore, according to the study on adsorption thermodynamics, the characteristics of oleate ion adsorption on the inner pore surface of both fluorapatite and dolomite, on (001) surface of fluorapatite and (104) surface of dolomite nearly conform to Langmuir model. For identical specific surface area, the adsorption amount of oleate ions on dolomite is higher than that on fluorapatite, indicating that there are more active sites per unit surface area on dolomite than on fluorapatite.

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采用TOC测量以及分子模拟方法研究了油酸根离子在氟磷灰石和白云石表面的吸附动力学以及吸附热力学。吸附动力学研究结果表明，以HEDP为抑制剂时，油酸根离子在氟磷灰石和白云石表面的吸附符合准二级动力学模型，油酸根离子在氟磷灰石表面的吸附速率大于在白云石表面的吸附速率。吸附热力学研究结果表明，油酸根离子在氟磷灰石和白云石孔径内和氟磷灰石（001）面以及白云石（104）面的吸附都接近Langmuir模型。相同比表面积条件下，油酸根离子在白云石表面的吸附量高于在氟磷灰石表面的吸附量，表明单位表面积内，白云石表面比氟磷灰石表面具有更多的活性位点。

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张覃（1967—），女，贵州毕节人，博士，教授，博士研究生导师，主要研究方向为难选矿石的选矿及资源综合利用。E-mail：
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张景奇（1998—），男，甘肃定西人，硕士研究生，主要研究方向为难选矿石的选矿及资源综合利用。E-mail：

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张景奇（1998—），男，甘肃定西人，硕士研究生，主要研究方向为难选矿石的选矿及资源综合利用。E-mail：

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张景奇（1998—），男，甘肃定西人，硕士研究生，主要研究方向为难选矿石的选矿及资源综合利用。E-mail：

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矿物名称准一级动力学方程准二级动力学方程Webber-Morris方程
Qek1R2Qek2R2CKpR2
氟磷灰石2.238 60.247 60.973 62.298 70.150 50.998 20.740 60.226 80.733 4
白云石1.816 30.015 50.925 41.586 40.066 30.993 60.089 70.180 10.958 6
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吸附动力学拟合参数

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矿物名称准一级动力学方程准二级动力学方程Webber-Morris方程
Qek1R2Qek2R2CKpR2
氟磷灰石2.238 60.247 60.973 62.298 70.150 50.998 20.740 60.226 80.733 4
白云石1.816 30.015 50.925 41.586 40.066 30.993 60.089 70.180 10.958 6
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矿物名称Linear方程Freundlich方程Langmuir方程
bKR2nKR2QeKR2
氟磷灰石0.656 10.004 10.811 11.830 60.087 00.901 93.724 7250.425 60.956 0
白云石0.180 40.001 10.697 31.836 60.024 50.801 21.028 1245.405 10.873 8
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吸附等温线拟合相关参数

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矿物名称Linear方程Freundlich方程Langmuir方程
bKR2nKR2QeKR2
氟磷灰石0.656 10.004 10.811 11.830 60.087 00.901 93.724 7250.425 60.956 0
白云石0.180 40.001 10.697 31.836 60.024 50.801 21.028 1245.405 10.873 8
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矿物名称Linear方程Freundlich方程Langmuir方程
bKR2nKR2QeKR2
氟磷灰石48.220 18.019 5×10-40.459 412.755 327.806 30.779 357.399 8190.305 50.971 3
白云石79.798 94.788 0×10-40.697 312.157 445.048 70.849 295.927 6191.120 30.968 0
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油酸根离子在氟磷灰石和白云石孔径内的吸附等温线拟合相关参数

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矿物名称Linear方程Freundlich方程Langmuir方程
bKR2nKR2QeKR2
氟磷灰石48.220 18.019 5×10-40.459 412.755 327.806 30.779 357.399 8190.305 50.971 3
白云石79.798 94.788 0×10-40.697 312.157 445.048 70.849 295.927 6191.120 30.968 0
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矿物名称Linear方程Freundlich方程Langmuir方程
bKR2nKR2QeKR2
氟磷灰石46.982 76.095 5×10-40.458 312.536 626.449 20.781 356.263 8219.956 50.965 2
白云石47.283 73.523 4×10-40.411 720.031 032.931 70.775 852.677 9125.884 70.956 5
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油酸根离子在氟磷灰石（001）面和白云石（104）面的吸附等温线拟合相关参数

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矿物名称Linear方程Freundlich方程Langmuir方程
bKR2nKR2QeKR2
氟磷灰石46.982 76.095 5×10-40.458 312.536 626.449 20.781 356.263 8219.956 50.965 2
白云石47.283 73.523 4×10-40.411 720.031 032.931 70.775 852.677 9125.884 70.956 5
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油酸根离子在氟磷灰石和白云石表面吸附动力学与吸附热力学研究
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张景奇 1 , 张覃 2, 3, 4 , 卯松 1, 3, 4
矿冶工程杂志 | 选矿 2024,44(1): 60-67
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矿冶工程杂志 | 选矿 2024, 44(1): 60-67
油酸根离子在氟磷灰石和白云石表面吸附动力学与吸附热力学研究
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张景奇1 , 张覃2, 3, 4 , 卯松1, 3, 4
作者信息
  • 1.贵州大学　矿业学院，贵州　贵阳　550025
  • 2.贵州科学院，贵州　贵阳　550001
  • 3.喀斯特地区优势矿产资源高效利用国家地方联合工程实验室，贵州　贵阳　550025
  • 4.贵州省非金属矿产资源综合利用重点实验室，贵州　贵阳　550025

    • 张景奇（1998—），男，甘肃定西人，硕士研究生，主要研究方向为难选矿石的选矿及资源综合利用。E-mail：

通讯作者:

张覃（1967—），女，贵州毕节人，博士，教授，博士研究生导师，主要研究方向为难选矿石的选矿及资源综合利用。E-mail：
Kinetics and Thermodynamics of Oleate Ion Adsorption on Fluorapatite and Dolomite
Jingqi ZHANG1 , Qin ZHANG2, 3, 4 , Song MAO1, 3, 4
Affiliations
  • 1.Mining College, Guizhou University, Guiyang 550025, Guizhou, China
  • 2.Guizhou Academy of Sciences, Guiyang 550001, Guizhou, China
  • 3.National & Local Joint Laboratory of Engineering for Effective Utilization of Regional Mineral Resources from Karst Areas, Guiyang 550025, Guizhou, China
  • 4.Guizhou Key Lab of Comprehensive Utilization of Nonmetallic Mineral Resources, Guiyang 550025, Guizhou, China
出版时间: 2024-02-01 doi: 10.3969/j.issn.0253-6099.2024.01.014
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摘要
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采用TOC测量以及分子模拟方法研究了油酸根离子在氟磷灰石和白云石表面的吸附动力学以及吸附热力学。吸附动力学研究结果表明，以HEDP为抑制剂时，油酸根离子在氟磷灰石和白云石表面的吸附符合准二级动力学模型，油酸根离子在氟磷灰石表面的吸附速率大于在白云石表面的吸附速率。吸附热力学研究结果表明，油酸根离子在氟磷灰石和白云石孔径内和氟磷灰石（001）面以及白云石（104）面的吸附都接近Langmuir模型。相同比表面积条件下，油酸根离子在白云石表面的吸附量高于在氟磷灰石表面的吸附量，表明单位表面积内，白云石表面比氟磷灰石表面具有更多的活性位点。

氟磷灰石  /  白云石  /  吸附动力学  /  吸附热力学  /  孔隙

The kinetics and thermodynamics of oleate ion adsorption on the surface of fluorapatite and dolomite were studied by adopting TOC measurement and molecular simulation. The study on kinetics of adsorption shows that with HEDP as the depressant, the adsorption rate of oleate ions on fluorapatite is greater than on dolomite, and the adsorption on both minerals conforms to the quasi-second-order kinetic model. Furthermore, according to the study on adsorption thermodynamics, the characteristics of oleate ion adsorption on the inner pore surface of both fluorapatite and dolomite, on (001) surface of fluorapatite and (104) surface of dolomite nearly conform to Langmuir model. For identical specific surface area, the adsorption amount of oleate ions on dolomite is higher than that on fluorapatite, indicating that there are more active sites per unit surface area on dolomite than on fluorapatite.

fluorapatite  /  dolomite  /  adsorption kinetics  /  adsorption thermodynamics  /  porosity
张景奇, 张覃, 卯松. 油酸根离子在氟磷灰石和白云石表面吸附动力学与吸附热力学研究. 矿冶工程杂志, 2024 , 44 (1) : 60 -67 . DOI: 10.3969/j.issn.0253-6099.2024.01.014
Jingqi ZHANG, Qin ZHANG, Song MAO. Kinetics and Thermodynamics of Oleate Ion Adsorption on Fluorapatite and Dolomite[J]. Mining and Metallurgical Engineering, 2024 , 44 (1) : 60 -67 . DOI: 10.3969/j.issn.0253-6099.2024.01.014
正文
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吸附动力学和吸附热力学是研究浮选过程中捕收剂作用原理的重要内容。准一级动力学模型和准二级动力学模型是常见的动力学模型[1]。吸附等温线可以代表矿物与捕收剂活性之间的函数关系。吸附等温线常用模型有Langmuir、Freundlich和Temkin模型等[2]。矿物表面的孔隙对浮选有较大影响，药剂吸附在孔隙中会使浮选药剂用量增加[3]，同时会降低矿物浮选回收率。吸附动力学和吸附热力学研究有助于了解捕收剂在氟磷灰石和白云石表面的吸附机理，构建捕收剂在矿物表面的吸附模型以及吸附形式对改进药剂在矿物表面的作用具有重要意义。本文使用油酸钠作为捕收剂、HEDP作为抑制剂，采用TOC测量以及分子模拟的方式对药剂在矿物表面的吸附动力学和吸附等温线进行分析，对氟磷灰石和白云石孔径中的吸附以及磷灰石（001）面和白云石（104）面的吸附进行研究，进一步了解脂肪酸类捕收剂在氟磷灰石和白云石表面的作用机理。
1　研究方法
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1.1　矿浆中油酸根离子含量测定
采用TOC（总有机碳）测试分析捕收剂油酸钠在氟磷灰石和白云石纯矿物表面的吸附量。经过前期纯矿物浮选条件探索试验，确定浮选药剂制度为：pH=4.86，HEDP用量80 mg/L，油酸钠用量150 mg/L。采取与浮选试验相同的调浆顺序，探索油酸根离子在不同时间的吸附量。
TOC数值与油酸根离子标准溶液浓度线性拟合结果如图1所示。
由图1可知，油酸根离子标准溶液浓度与TOC值线性拟合良好，拟合方程为：
式中x为TOC值；y为油酸根离子浓度。线性拟合的相关系数为0.991 35，油酸根离子溶液浓度与TOC值线性相关，此曲线可用作油酸根离子浓度与其TOC值的标准曲线。
油酸根离子在矿物表面的吸附量计算公式为：
式中A为吸附浓度，mg/L；n为捕收剂浓度，mg/L；x为测试得到的TOC值；Q为吸附量，mg/g；C为吸附密度，mg/m2；V为溶液体积，L；s为比表面积，m2/g；m为试样质量，g。
1.2　矿物比表面积测定
本研究需要计算浮选过程中捕收剂在矿物表面的吸附密度，故选择浮选所采用的试样，采用麦克ASAP2460测定矿物比表面积，以保证试验结果的准确性。
1.3　分子模拟研究
使用Sorption模块分析油酸根离子在氟磷灰石和白云石内部开孔中油酸根离子的吸附等温线。
构建氟磷灰石开孔结构，使用几何优化后的氟磷灰石晶体构建氟磷灰石超晶胞，超晶胞参数为：a=b=8.500 87 nm，c=2.766 30 nm。在超晶胞内部建立一个径向距离3 nm的孔，具体结构如图2所示。
计算参数为：最低和最高逸度分别为500 kPa和20 000 kPa，Fugacity steps值为10，温度298 K，使用COMPASSⅡ力场。
构建白云石开孔结构，使用几何优化后的氟磷灰石晶体构建氟磷灰石超晶胞，超晶胞参数为：a=b=8.729 66 nm，c=3.195 67 nm。在超晶胞内部建立一个径向距离3 nm的孔，具体结构如图3所示。计算参数与氟磷灰石保持一致。
白云石（104）表面如图4所示，氟磷灰石（001）表面如图5所示。
2　吸附动力学研究
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吸附动力学通过研究药剂在矿物表面的吸附速率判断浮选调浆过程中药剂在矿物表面作用的时长，通过准一级动力学方程、准二级动力学方程以及Webber-Morris动力学方程拟合判断药剂在矿物表面吸附的主要控制因素。
准一级动力学方程假定吸附过程受扩散步骤控制[4]：
式中k1为准一级动力学方程吸附速率常数，g/（mg·min）；Qe为平衡吸附量，mg/g；Qt为t时刻的吸附量，mg/g。
准二级动力学方程认为药剂在矿物表面的吸附速率由矿物表面未被占有的吸附空位数的平方值决定，吸附过程受化学吸附机理控制[5-6]：
式中k2为准二级动力学方程吸附速率常数，g/（mg·min）；Qe为平衡吸附量，mg/g；Qt为t时刻的吸附量，mg/g。
Webber-Morris动力学方程使用Qt与t0.5进行线性拟合，如果获得的拟合曲线通过坐标原点，说明其吸附行为属于颗粒内扩散动力学控制过程；如果存在多条拟合曲线不通过坐标原点的情况，说明其吸附行为属于颗粒内扩散和外扩散同时主导的控制过程，分多个步骤进行[7]：
式中Qt为t时刻的吸附量，mg/g；Kp为颗粒内扩散速率常数，g/（mg·min）；C为常数。
在pH=4.86、HEDP用量80 mg/L、油酸钠用量150 mg/L条件下，不同吸附时间下氟磷灰石和白云石表面油酸根离子的吸附量如图6所示，准一级动力学方程、准二级动力学方程以及Webber-Morris动力学方程拟合结果分别如图7～9所示，拟合参数见表1。
由图6和表1可知，有抑制剂HEDP存在时，氟磷灰石和白云石的实测平衡吸附量分别为2.166 0 mg/g和1.392 6 mg/g，氟磷灰石和白云石准二级动力学方程拟合的相关系数分别为0.998 2和0.993 6，计算所得平衡吸附量分别为2.298 7 mg/g和1.586 4 mg/g，由此可以推测，有抑制剂存在时，油酸根离子在氟磷灰石和白云石表面的吸附以化学吸附为主且为单分子层吸附。油酸根离子在氟磷灰石和白云石表面的吸附速率常数分别为0.150 5和0.066 3，有HEDP存在时，油酸根离子在氟磷灰石表面的吸附速率大于在白云石表面的吸附速率。
3　吸附热力学研究
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吸附等温线可以反映吸附的主要信息以及描述吸附质与吸附剂的相互作用[8]，可以通过吸附等温线的类型判断油酸根离子在氟磷灰石和白云石表面的吸附类型。有机药剂在矿物表面的吸附等温线主要有以下3种类型：
Linear方程：
Freundlich方程[9]：
Langmuir方程[10]：
式中Q为平衡浓度下的吸附量，mg/g；Qe为极限吸附量，mg/g；c为平衡吸附浓度，mg/L；K为平衡吸附系数；b，n均为常数。
pH=4.86、HEDP用量80 mg/L时，不同平衡浓度下油酸根离子在氟磷灰石和白云石表面的吸附量如图10所示，氟磷灰石和白云石Linear方程、Freundlich方程和Langmuir方程拟合结果分别如图11～13所示，拟合参数见表2。结果表明，油酸根离子在氟磷灰石以及白云石表面的吸附更接近Langmuir方程。Langmuir方程认为吸附剂在吸附质表面为单分子层吸附，每个吸附位点只允许被一个吸附分子占据并相互独立[10]，因此油酸根离子在氟磷灰石表面的吸附可能为单分子层吸附。氟磷灰石和白云石表面具有一定数量的金属活性位点作为吸附中心，每个吸附中心不会吸附两个及以上的油酸根离子，且油酸根离子在氟磷灰石和白云石表面的吸附呈现吸附、脱附的动态平衡状态。与氟磷灰石相比，白云石Langmuir方程拟合的相关系数较小，可能的原因是白云石表面有Ca位点和Mg位点作为吸附中心且不具有相等的吸附能。总体而言，Langmuir方程可以在一定程度上解释在酸性以及HEDP存在条件下油酸根离子在氟磷灰石和白云石表面的吸附机理。
4　矿物表面吸附密度研究
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4.1　氟磷灰石和白云石比表面积分析
氟磷灰石和白云石N2吸附脱附曲线如图14所示，孔径分布如图15所示。N2吸附、脱附等温线类型均符合IUPAC分类中的Ⅲ型[11]。氟磷灰石和白云石BET比表面积分别为9.177 1 m2/g和1.015 6 m2/g，吸附平均孔径分别为12.701 7 nm和22.078 1 nm，氟磷灰石平均孔径明显小于白云石平均孔径。可知氟磷灰石和白云石都具有孔径结构，且孔径结构对比表面积的影响较大，氟磷灰石具有较小的孔径，较为致密，而白云石孔径较大。药剂在矿浆中与矿物发生作用时，孔径也会影响药剂在矿物表面的吸附。
4.2　矿物表面油酸根离子吸附密度分析
pH=4.86、HEDP用量80 mg/L时，不同吸附时间下油酸根离子在矿物表面的吸附密度如图16所示。结果表明，白云石具有较低的比表面积，油酸根离子在白云石表面的吸附密度大于在氟磷灰石表面的吸附密度；吸附的前10 min，油酸根离子在矿物表面的吸附密度随时间增大而增大，特别是白云石；10 min以后，氟磷灰石表面油酸根离子吸附密度基本趋于平衡，白云石表面油酸根离子吸附仍处于上升趋势，且上升幅度较大。表明白云石表面更易吸附油酸根离子，在相同的比表面积内，白云石表面吸附的油酸根离子高于在氟磷灰石表面吸附的油酸根离子。在试验条件下，油酸根离子在白云石表面的吸附量远大于在氟磷灰石表面的吸附量，因此酸性条件下抑制剂HEDP可以实现对氟磷灰石和白云石的选择性分离。
pH=4.86、HEDP用量80 mg/L时，不同平衡浓度条件下油酸根离子在矿物表面的吸附密度如图17所示。随着平衡浓度升高，氟磷灰石和白云石表面油酸根离子吸附密度升高，且油酸根离子在白云石表面的吸附密度上升趋势更明显。平衡浓度200 mg/L时氟磷灰石和白云石表面吸附密度趋于平衡，因此在浮选过程中，考虑到经济成本以及较优的吸附密度差值，油酸根离子适合用量为200 mg/L。
5　分子动力学研究
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比表面积是颗粒所有能够接触空气的表面积之和，是外部表面积和内部开孔的表面积之和。氟磷灰石和白云石具有一定的开孔结构，油酸根离子在溶液中可能吸附在矿物的磷灰石（001）面和白云石（104）面上，也有可能吸附在矿物的孔径内部。使用分子动力学对油酸根离子在氟磷灰石和白云石孔径内以及氟磷灰石（001）面和白云石（104）面的吸附等温线进行研究。
5.1　孔径内吸附等温线
油酸根离子在氟磷灰石及白云石孔径内的吸附平均载量如图18～19所示，Linear方程、Freundlich方程和Langmuir方程拟合结果分别如图20～21所示，拟合参数见表3。氟磷灰石Linear、Freundlich和Langmuir吸附等温线拟合相关系数分别为0.459 4、0.779 3和0.971 3，白云石Linear、Freundlich和Langmuir吸附等温线拟合相关系数分别为0.697 3、0.849 2和0.968 0。油酸根离子在氟磷灰石以及白云石表面的吸附更接近Langmuir方程，油酸根离子在矿物孔径内的吸附可能为单分子层吸附，孔径内每个吸附中心不会吸附两个及以上的油酸根离子，油酸根离子在矿物孔径内的吸附呈现吸附、脱附的动态平衡状态。
5.2　氟磷灰石（001）面和白云石（104）面吸附等温线
氟磷灰石（001）面和白云石（104）面吸附平均载量分别如图22～23所示，对应的Linear、Freundlich、Langmuir吸附等温线拟合结果如图24～25所示，拟合参数见表4。氟磷灰石（001）面Linear、Freundlich、Langmuir方程拟合相关系数分别为0.458 3、0.781 3和0.965 2，白云石（104）面Linear、Freundlich和Langmuir方程拟合相关系数分别为0.411 7、0.775 8和0.956 5。油酸根离子在氟磷灰石和白云石表面的吸附与Langmuir方程接近，表明油酸根离子在氟磷灰石（001）面和白云石（104）面的吸附与在氟磷灰石和白云石孔径内的吸附特点一致。
油酸根离子在孔径内吸附时，虽然可以改变矿物疏水性，但在气泡矿化过程中，矿物孔径所占比例较小，而比表面积较大会导致较多的药剂分子被吸附在矿物孔径内，对矿物整体表面润湿性改变不大，反而对气泡矿化造成不利影响，且药剂用量会相对增加。
6　结论
收起
1）使用HEDP为抑制剂时，油酸根离子在氟磷灰石和白云石表面的吸附符合准二级动力学模型；油酸根离子在氟磷灰石和白云石表面的吸附以化学吸附为主且为单分子层吸附；油酸根离子在氟磷灰石表面的吸附速率大于在白云石表面的吸附速率。
2）使用HEDP为抑制剂时，油酸根离子在氟磷灰石以及白云石表面的吸附接近Langmuir方程；油酸根离子在氟磷灰石表面的吸附为单分子层吸附，氟磷灰石和白云石表面具有一定数量的金属活性位点作为吸附中心，每个吸附中心不会吸附两个及以上的油酸根离子，油酸根离子在氟磷灰石和白云石表面的吸附呈现吸附、脱附的动态平衡状态。
3）白云石表面更易吸附油酸根离子，比表面积相同时，油酸根离子在白云石表面的吸附量高于在氟磷灰石表面的吸附量，单位表面积内，白云石表面比氟磷灰石具有更多的活性位点。
基金
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  • 国家重点研发计划项目(2018YFE0110300)
  • 贵州省科技计划项目(黔科合平台人才[2020]4105)
文献
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doi: 10.3969/j.issn.0253-6099.2024.01.014
  • 接收时间：2023-09-10
  • 首发时间：2026-03-20
  • 出版时间：2024-02-01
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  • 收稿日期：2023-09-10
基金
国家重点研发计划项目(2018YFE0110300)
贵州省科技计划项目(黔科合平台人才[2020]4105)
作者信息
    1.贵州大学　矿业学院，贵州　贵阳　550025
    2.贵州科学院，贵州　贵阳　550001
    3.喀斯特地区优势矿产资源高效利用国家地方联合工程实验室，贵州　贵阳　550025
    4.贵州省非金属矿产资源综合利用重点实验室，贵州　贵阳　550025

通讯作者:

张覃（1967—），女，贵州毕节人，博士，教授，博士研究生导师，主要研究方向为难选矿石的选矿及资源综合利用。E-mail：
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2种不同金属材料的力学参数
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Family		 属数
Number of
genus		 种数
Number of
species		 占总种数比例
Percentage of
total species (%)		 属
Genus		 种数
Number of
species		 占总种数比例
Percentage of total
species (%)
鹅膏菌科Amanitaceae 2 11 5.26 鹅膏菌属 Amanita 10 4.78
小菇科 Mycenaceae 2 12 5.74 丝盖伞属 Inocybe 5 2.39
多孔菌科 Polyporaceae 8 14 6.70 蜡蘑属 Laccaria 5 2.39
红菇科 Russulaceae 3 23 11.00 小皮伞属 Marasmius 6 2.87
小菇属 Mycena 11 5.26
光柄菇属 Pluteus 5 2.39
红菇属 Russula 17 8.13
栓菌属 Trametes 5 2.39
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