{"id":8896,"date":"2023-01-14T09:16:05","date_gmt":"2023-01-14T08:16:05","guid":{"rendered":"https:\/\/www.nickzom.org\/blog\/?p=8896"},"modified":"2024-06-09T17:06:46","modified_gmt":"2024-06-09T16:06:46","slug":"how-to-calculate-and-solve-for-distance-of-inter-atomic-spacing-x-ray-diffusion","status":"publish","type":"post","link":"https:\/\/www.nickzom.org\/blog\/2023\/01\/14\/how-to-calculate-and-solve-for-distance-of-inter-atomic-spacing-x-ray-diffusion\/","title":{"rendered":"How to Calculate and Solve for Distance of Inter-atomic Spacing | X-Ray Diffusion"},"content":{"rendered":"

\"\"<\/p>\n

The image above represents distance of inter-atomic spacing. Four essential parameters are needed to calculate the distance of inter-atomic spacing: Unit Cell Edge Length (a), Miller Index (h), Miller Index (k),\u00a0<\/strong>and\u00a0Miller Index (l).<\/strong><\/p>\n

The formula for calculating the distance of inter-atomic spacing:<\/strong><\/h3>\n

d =\u00a0a<\/sup>\/\u221a(h\u00b2 + k\u00b2 + l\u00b2)<\/sub><\/p>\n

Where:<\/p>\n

d = Inter-atomic Spacing
\na = Unit Cell Edge Length<\/a>
\nh = Miller Index
\nk = Miller Index
\nl = Miller Index<\/p>\n

Given an example;
\nFind the distance of inter-atomic spacing when the unit cell edge length is 4, the miller index is 2, the miller index is 3 and the miller index is 6.<\/p>\n

This implies that;<\/p>\n

a = Unit Cell Edge Length = 4
\nh = Miller Index = 2
\nk = Miller Index = 3
\nl = Miller Index = 6<\/p>\n

d =\u00a0a<\/sup>\/\u221a(h\u00b2 + k\u00b2 + l\u00b2)<\/sub>
\nThat is, d = 4<\/sup>\/\u221a(2\u00b2 + 3\u00b2 + 6\u00b2)<\/sub>
\nd =\u00a04<\/sup>\/\u221a(4 + 9 + 36)<\/sub>
\nd =\u00a04<\/sup>\/\u221a(49)<\/sub>
\nSo, d = 4<\/sup>\/7<\/sub>
\nd = 0.571<\/p>\n

Therefore, the\u00a0distance of inter-atomic spacing\u00a0<\/strong>is\u00a00.571 m.<\/strong><\/p>\n

How to Calculate the Distance of Inter-atomic Spacing Using Nickzom Calculator<\/strong><\/h3>\n

Nickzom Calculator \u2013 The Calculator Encyclopedia is capable of calculating the distance of inter-atomic spacing.<\/p>\n

\n

To get the answer and workings of the distance of inter-atomic spacing using the Nickzom Calculator \u2013 The Calculator Encyclopedia. First, you need to obtain the app.<\/p>\n

You can get this app via any of these means:<\/p>\n

Web\u00a0\u2013\u00a0https:\/\/www.nickzom.org\/calculator-plus<\/a><\/p>\n

To get access to the\u00a0professional\u00a0version via web, you need to\u00a0register\u00a0and\u00a0subscribe\u00a0to have utter access to all functionalities.
\nYou can also try the\u00a0demo\u00a0version via\u00a0https:\/\/www.nickzom.org\/calculator<\/a><\/p>\n

Android (Paid)\u00a0\u2013\u00a0https:\/\/play.google.com\/store\/apps\/details?id=org.nickzom.nickzomcalculator<\/a>
\nAndroid (Free)\u00a0\u2013\u00a0https:\/\/play.google.com\/store\/apps\/details?id=com.nickzom.nickzomcalculator<\/a><\/p>\n

Apple (Paid)\u00a0\u2013\u00a0https:\/\/itunes.apple.com\/us\/app\/nickzom-calculator\/id1331162702?mt=8<\/a>
\nOnce, you have obtained the calculator encyclopedia app, proceed to the\u00a0Calculator Map,\u00a0then click on\u00a0Materials and Metallurgical\u00a0under\u00a0Engineering.<\/p>\n<\/div>\n

<\/p>\n

Now, Click on\u00a0X-Ray Diffusion<\/strong>\u00a0under\u00a0Materials and Metallurgical<\/strong><\/p>\n

\"\"<\/p>\n

Now, Click on\u00a0Distance of Inter-atomic Spacing <\/strong>under X-Ray Diffusion<\/strong><\/p>\n

\"\"<\/p>\n

The screenshot below displays the page or activity to enter your values, to get the answer for the distance of inter-atomic spacing according to the respective parameter which is the Unit Cell Edge Length (a), Miller Index (h), Miller Index (k)\u00a0<\/strong>and\u00a0Miller Index (l).<\/strong><\/p>\n

\"\"<\/p>\n

Now, enter the values appropriately and accordingly for the parameters as required by the Unit Cell Edge Length (a)<\/strong> is 4<\/strong>, Miller Index (h)<\/strong> is 2<\/strong>, Miller Index (k)<\/strong> is 3 <\/strong>and Miller Index (l)<\/strong> is 6<\/strong>.<\/p>\n

\"How<\/p>\n

Finally, Click on Calculate<\/p>\n

\"How
\n\"How<\/p>\n

As you can see from the screenshot above, Nickzom Calculator\u2013 The Calculator Encyclopedia solves for the distance of inter-atomic spacing and presents the formula, workings and steps too.<\/p>\n","protected":false},"excerpt":{"rendered":"The image above represents distance of inter-atomic spacing. Four essential parameters are needed to calculate the distance of…","protected":false},"author":5,"featured_media":16861,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_yoast_wpseo_opengraph-title":"","_yoast_wpseo_opengraph-description":"","_yoast_wpseo_twitter-title":"","_yoast_wpseo_twitter-description":"","_lmt_disableupdate":"","_lmt_disable":"","_sitemap_exclude":false,"_sitemap_priority":"","_sitemap_frequency":"","_yoast_wpseo_focuskw_text_input":"","csco_display_header_overlay":false,"csco_singular_sidebar":"","csco_page_header_type":"","footnotes":"","_members_access_role":[],"_members_access_error":""},"categories":[47],"tags":[2441,60,543,2440,2439,2438],"class_list":["post-8896","post","type-post","status-publish","format-standard","has-post-thumbnail","category-engineering","tag-distance-of-inter-atomic-spacing","tag-engineering","tag-materials-and-metallurgical","tag-miller-index","tag-unit-cell-edge-length","tag-x-ray-diffraction","cs-entry"],"yoast_head":"\nHow to Calculate 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