Citation: DAI Chaozheng. Deductive inference on the plate height equation of ultra performance liquid chromatography[J]. Chinese Journal of Chromatography, ;2015, 33(5): 535-540. doi: 10.3724/SP.J.1123.2014.10007 shu

Deductive inference on the plate height equation of ultra performance liquid chromatography

DAI Chaozheng ^,

1.
Chengdu Institute of Organic Chemistry, Chinese Academy of Sciences, Chengdu 610041, China

Corresponding author: DAI Chaozheng,
Received Date: 20 October 2014
Available Online: 11 December 2014

In recent years, separation and analysis workers have made considerable progress on ultra performance liquid chromatography (UPLC). A lot of separation works have been completed which have never been done before. But the theory about chromatographic dynamics of UPLC from the beginning up to now, is remaining in 1950's. Some people explain the principle of UPLC by the van Deemter equation, but this is not right. In this paper, the dynamic process of UPLC has been studied. According to the chromatographic dynamics principle and starting from the heat conduction equation, the plate height equation of UPLC including the influence of mobile phase friction heat production has been deduced as follows: H=2γD_m/u+((2λd_pu^1/3)/(u^1/3+ω(D_m/d_p)^1/3))+((2ku)/((1+k)²(1+κ₀)κ_d))+ ((θ(κ₀+κ₀k+k)²d_p²u)/(D_mκ₀(1+κ₀)²(1+k)²)) +(κ_i(κ₀+κ₀k+k)²d_p^5/2u^2/3)/(3κ₀Ω D_m^2/3(1+κ₀)²(1+k)²+(r₀²(κ₀+κκ₀k+k)u)/(4(1+k)D_r)exp(-Kr₀²α). The last item on the right represents the contribution of mobile phase friction heat. When the linear velocity of mobile phase is lower, the contribution of mobile phase friction heat tending to become zero, the plate height equation is reduced to the Horvath and Lin equation. When the linear velocity of mobile phase is high, the temperature difference between the column axial center and edge is directly proportional to the mobile phase linear speed square, and the contribution of thermal effect will largely increased. In this paper, the author clearly pointed out that the column efficiency of UPLC has a direct bearing on the column diameter. Using fine diameter column is helpful to implement column efficiency. Too high mobile phase velocity will lead to the column efficiency collapsed.
- ultra performance liquid chromatography (UPLC),
- chromatographic dynamics,
- column efficiency collapsed,
- plate height equation
1. [1]
  [1] Ye X W, Peng Y, Niu Z Y, et al. Chinese Journal of Chromatography (叶曦雯, 彭燕, 牛增元, 等. 色谱), 2014, 32(9): 1005
2. [2]
  [2] Fan S, Zou J H, Li L P, et al. Chinese Journal of Chromatography (范赛, 邹建宏, 李丽萍, 等. 色谱), 2014, 32(9): 999
3. [3]
  [3] Horvath C, Lin H J. J Chromatogr, 1978, 149: 43
4. [4]
  [4] Horvath C, Lin H J. J Chromatogr, 1976, 126: 401
5. [5]
  [5] Dai C Z. Chinese Journal of Chromatography (戴朝政. 色谱), 1999, 17(6): 514
6. [6]
  [6] Lu P Z, Dai C Z, Zhang X M. Chromatographic Theory Foundation. 2nd ed. Beijing: Science Press (卢佩章, 戴朝政, 张祥民. 色谱理论基础. 2版). 北京: 科学出版社, 1998
7. [7]
  [7] Zhang Y K, Bao M S, Zhou G M, et al. Scientia Sinica: Series B (张玉奎, 包绵生, 周桂敏, 等. 中国科学:B辑), 1980(11): 1057
8. [8]
  [8] Dai C Z. China Patent (戴朝政. 中国专利), ZL201010516298.3. 2014-01-29
9. [9]
  [9] Li D, Li Z K, Lin J, et al. China Measurement & Test (李丹, 李祖琨, 林洁, 等. 中国测试), 2013, 39(4): 52
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