Home

Citation: KE Qing, GAO Qingwei, LU Yixiang. Rapid resolving algorithm of gas chromatographic overlapping peaks based on the asymptotic expansion of integration[J]. Chinese Journal of Chromatography, ;2018, 36(1): 59-68. doi: 10.3724/SP.J.1123.2017.09018 shu

Rapid resolving algorithm of gas chromatographic overlapping peaks based on the asymptotic expansion of integration

School of Electrical Engineering and Automation, Anhui University, Hefei 230601, China

Received Date: 8 September 2017

Fund Project: National Natural Science Foundation of China (Nos. 61370110, 61402004).

A novel algorithm, called asymptotic expansion of integration, is suggested to resolve gas chromatographic overlapping peaks. There are three steps for the algorithm. First, a valley peak or a shoulder peak is separated into two domains, and an integral equation on a subdivision and an algebraic equation on the overlapping peak domain are listed. Secondly, areas needed in two equations, are computed by a numerical integral method, then the integral equation is expended to an algebraic equation by the asymptotic formula of integration. At last, combing two equations with constraint equations of peak heights, we got a nonlinear algebraic set. The equation set can be solved rapidly by Gauss-Seidel iteration, and the maximum number of iterations is not more than 20 times. The simulation and experimental results showed that height and area errors of resolving peaks are quite small, the maximum error of area is less than 6.44%, and that of the height is about 6.80%. Because of the high accuracy and computational efficiency, the algorithm can be used in decomposition of gas chromatographic overlapping peaks and online real-time processing of general chromatographic overlapping peaks.
- integral equation,
- asymptotic expansion of integration,
- gas chromatogram,
- overlapping peaks
1. [1]
2. [2]
3. [3]
4. [4]
5. [5]
6. [6]
7. [7]
8. [8]
9. [9]
10. [10]
11. [11]
12. [12]
13. [13]
14. [14]
15. [15]
16. [16]
17. [17]
18. [18]
19. [19]
20. [20]
1. [1]
  Zunxiang Zeng , Yuling Hu , Yufei Hu , Hua Xiao . Analysis of Plant Essential Oils by Supercritical CO₂Extraction with Gas Chromatography-Mass Spectrometry: An Instrumental Analysis Comprehensive Experiment Teaching Reform. University Chemistry, 2024, 39(3): 274-282. doi: 10.3866/PKU.DXHX202309069
2. [2]
  Xiaowu Zhang , Pai Liu , Qishen Huang , Shufeng Pang , Zhiming Gao , Yunhong Zhang . Acid-Base Dissociation Equilibrium in Multiphase System: Effect of Gas. University Chemistry, 2024, 39(4): 387-394. doi: 10.3866/PKU.DXHX202310021
3. [3]
  Yanhui Zhong , Ran Wang , Zian Lin . Analysis of Halogenated Quinone Compounds in Environmental Water by Dispersive Solid-Phase Extraction with Liquid Chromatography-Triple Quadrupole Mass Spectrometry. University Chemistry, 2024, 39(11): 296-303. doi: 10.12461/PKU.DXHX202402017
4. [4]
  Jiao CHEN , Yi LI , Yi XIE , Dandan DIAO , Qiang XIAO . Vapor-phase transport of MFI nanosheets for the fabrication of ultrathin b-axis oriented zeolite membranes. Chinese Journal of Inorganic Chemistry, 2024, 40(3): 507-514. doi: 10.11862/CJIC.20230403
5. [5]
  Haiying Jiang , Huilin Guo , Yongliang Cheng , Tongyu Xu , Jiquan Liu , Mingli Peng . Teaching Design of the Nernst Equation Based on the “Flipped Classroom” Method. University Chemistry, 2024, 39(8): 84-90. doi: 10.3866/PKU.DXHX202312091
6. [6]
  Siming Bian , Sijie Luo , Junjie Ou . Application of van Deemter Equation in Instrumental Analysis Teaching: A New Type of Core-Shell Stationary Phase. University Chemistry, 2025, 40(3): 381-386. doi: 10.12461/PKU.DXHX202406087
7. [7]
  Mengzhen JIANG , Qian WANG , Junfeng BAI . Research progress on low-cost ligand-based metal-organic frameworks for carbon dioxide capture from industrial flue gas. Chinese Journal of Inorganic Chemistry, 2025, 41(1): 1-13. doi: 10.11862/CJIC.20240355
8. [8]
  Wenqi Gao , Xiaoyan Fan , Feixiang Wang , Zhuojun Fu , Jing Zhang , Enlai Hu , Peijun Gong . Exploring Nernst Equation Factors and Applications of Solid Zinc-Air Battery. University Chemistry, 2024, 39(5): 98-107. doi: 10.3866/PKU.DXHX202310026
9. [9]
  Wenliang Wang , Weina Wang , Sufan Wang , Tian Sheng , Tao Zhou , Nan Wei . “Schrödinger Equation – Approximate Models – Core Concepts – Simple Applications”: Constructing a Logical Framework and Knowledge Graph of Atom and Molecule Structures. University Chemistry, 2024, 39(8): 338-343. doi: 10.3866/PKU.DXHX202312084
10. [10]
  Gaoyan Chen , Chaoyue Wang , Juanjuan Gao , Junke Wang , Yingxiao Zong , Kin Shing Chan . Heart to Heart: Exploring Cardiac CT. University Chemistry, 2024, 39(9): 146-150. doi: 10.12461/PKU.DXHX202402011
11. [11]
  Wei Huang , Weiwei Chen , Yongxing Tang . Green Mountains and Blue Waters Spanning Nine Centuries: Decrypting “The Picture of a Thousand Miles of Rivers and Mountains” from a Chemical Perspective. University Chemistry, 2024, 39(9): 189-195. doi: 10.12461/PKU.DXHX202312075
12. [12]
  Weihua Jiang , Yongsheng Zhou , Qiaoqiao Teng . Progressive Teaching Model in the Practice and Exploration of Ideological and Political Education in Laboratory Courses: Taking the Organic Chemistry Experiment “Synthesis of Aspirin” as an Example. University Chemistry, 2024, 39(2): 99-104. doi: 10.3866/PKU.DXHX202306028
13. [13]
  Jingming Li , Bowen Ding , Nan Li , Nurgul . Application of Comparative Teaching Method in Experimental Project Design of Instrumental Analysis Course: A Case Study in Chromatography Experiment Teaching. University Chemistry, 2024, 39(8): 263-269. doi: 10.3866/PKU.DXHX202312078
14. [14]
  Zhiwen HU , Weixia DONG , Qifu BAO , Ping LI . Low-temperature synthesis of tetragonal BaTiO₃ for piezocatalysis. Chinese Journal of Inorganic Chemistry, 2024, 40(5): 857-866. doi: 10.11862/CJIC.20230462
15. [15]
  Haiyang Zhang , Yanzhao Dong , Haojie Li , Ruili Guo , Zhicheng Zhang , Jiangjiexing Wu . Exploring the Integration of Chemical Engineering Principle Experiment with Cutting-Edge Research Achievements. University Chemistry, 2024, 39(10): 308-313. doi: 10.12461/PKU.DXHX202405035
16. [16]
  Fang Niu , Rong Li , Qiaolan Zhang . Analysis of Gas-Solid Adsorption Behavior in Resistive Gas Sensing Process. University Chemistry, 2024, 39(8): 142-148. doi: 10.3866/PKU.DXHX202311102
17. [17]
  Fan Wu , Wenchang Tian , Jin Liu , Qiuting Zhang , YanHui Zhong , Zian Lin . Core-Shell Structured Covalent Organic Framework-Coated Silica Microspheres as Mixed-Mode Stationary Phase for High Performance Liquid Chromatography. University Chemistry, 2024, 39(11): 319-326. doi: 10.12461/PKU.DXHX202403031
18. [18]
  Jingyu Cai , Xiaoyu Miao , Yulai Zhao , Longqiang Xiao . Exploratory Teaching Experiment Design of FeOOH-RGO Aerogel for Photocatalytic Benzene to Phenol. University Chemistry, 2024, 39(4): 169-177. doi: 10.3866/PKU.DXHX202311028
19. [19]
  Chongjing Liu , Yujian Xia , Pengjun Zhang , Shiqiang Wei , Dengfeng Cao , Beibei Sheng , Yongheng Chu , Shuangming Chen , Li Song , Xiaosong Liu . Understanding Solid-Gas and Solid-Liquid Interfaces through Near Ambient Pressure X-Ray Photoelectron Spectroscopy. Acta Physico-Chimica Sinica, 2025, 41(2): 100013-. doi: 10.3866/PKU.WHXB202309036
20. [20]
  Xiaotian ZHU , Fangding HUANG , Wenchang ZHU , Jianqing ZHAO . Layered oxide cathode for sodium-ion batteries: Surface and interface modification and suppressed gas generation effect. Chinese Journal of Inorganic Chemistry, 2025, 41(2): 254-266. doi: 10.11862/CJIC.20240260

Get Citation

PDF

XML

Metrics

PDF Downloads(3)
Abstract views(398)
HTML views(50)

通讯作者: 陈斌, bchen63@163.com

1.
沈阳化工大学材料科学与工程学院沈阳 110142

Address：Zhongguancun North First Street 2,100190 Beijing, PR China Tel: +86-010-82449177-888

DownLoad: Full-Size Img PowerPoint

Return