{"title":"Effect of Temperature on Atomic Scattering Curve","authors":"Haque Mm, Hasan Mm, Islam Mm","doi":"10.4172/2168-9679.1000417","DOIUrl":null,"url":null,"abstract":"We have calculated the temperature dependence of the atomic scattering curve for the elements Si, C, Pt and Cu. At first we have drawn the general atomic scattering curve for the above elements. A quantity ‘f’, the atomic scattering factor, is said to describe the ‘efficiency’ of scattering of a given atom in a given direction. The actual calculation of ‘f’ involves sin θ, rather than θ, so that the net effect is that ‘f’ decreases as the quantity (sin θ)/λ increases. Secondly, we have considered Debye temperature factor using Debye model. And we observe that for Debye approximation, the curve decreases a little bit. Citation: Haque MM, Hasan MM, Islam MM (2018) Effect of Temperature on Atomic Scattering Curve. J Appl Computat Math 7: 417. doi: 10.4172/21689679.1000417","PeriodicalId":15007,"journal":{"name":"Journal of Applied and Computational Mathematics","volume":"1 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2018-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Applied and Computational Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.4172/2168-9679.1000417","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
We have calculated the temperature dependence of the atomic scattering curve for the elements Si, C, Pt and Cu. At first we have drawn the general atomic scattering curve for the above elements. A quantity ‘f’, the atomic scattering factor, is said to describe the ‘efficiency’ of scattering of a given atom in a given direction. The actual calculation of ‘f’ involves sin θ, rather than θ, so that the net effect is that ‘f’ decreases as the quantity (sin θ)/λ increases. Secondly, we have considered Debye temperature factor using Debye model. And we observe that for Debye approximation, the curve decreases a little bit. Citation: Haque MM, Hasan MM, Islam MM (2018) Effect of Temperature on Atomic Scattering Curve. J Appl Computat Math 7: 417. doi: 10.4172/21689679.1000417
我们计算了Si, C, Pt和Cu元素的原子散射曲线的温度依赖性。首先，我们绘制了上述元素的一般原子散射曲线。量“f”，即原子散射系数，据说描述了给定原子在给定方向上散射的“效率”。' f '的实际计算涉及sin θ，而不是θ，因此净效果是' f '随着(sin θ)/λ的增加而减少。其次，利用德拜模型考虑了德拜温度因子。我们观察到，对于德拜近似，曲线减小了一点。引用本文:Haque MM, Hasan MM, Islam MM(2018)温度对原子散射曲线的影响。[J] .计算机数学，第7卷第4节。doi: 10.4172/21689679.1000417
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