{"id":3068,"date":"2022-05-07T05:26:02","date_gmt":"2022-05-07T05:26:02","guid":{"rendered":"https:\/\/mdr.foobrdigital.com\/?p=3068"},"modified":"2022-05-07T05:26:02","modified_gmt":"2022-05-07T05:26:02","slug":"bohr-radius","status":"publish","type":"post","link":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/2022\/05\/07\/bohr-radius\/","title":{"rendered":"Bohr Radius"},"content":{"rendered":"\n

In atomic, physics, Bohr Radius is a physical constant, expressing the most probable distance between the electron and the nucleus in a Hydrogen atom in the ground state. Denoted by ao<\/sub> or rBohr<\/sub>. Due to his prime role in building the Bohr model, This physical constant is named after him.<\/p>\n\n\n\n

Bohr Radius (ao<\/sub> or rBohr<\/sub>)<\/h2>\n\n\n\n

The value of the Bohr radius is<\/p>\n\n\n\n

5.2917721067 * 10-11<\/sup>m<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n

Bohr Radius In Different Units<\/h3>\n\n\n\n

Refer the table given below for the value of Bohr Radius in various units<\/p>\n\n\n\n

ao<\/sub> in<\/strong><\/td>Bohr radius<\/strong><\/td><\/tr>
SI units<\/td>5.29\u00d710\u221211<\/sup> m<\/td><\/tr>
Imperial or US units<\/td>2.08\u00d710\u22129<\/sup> in<\/td><\/tr>
Natural units<\/td>2.68\u00d710\u22124 <\/sup>\/eV<\/td><\/tr>
3.27\u00d71024<\/sup> \u2113P<\/sub><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n

Bohr Radius Formula<\/h2>\n\n\n\n

The Bohr radius in SI unit is given by-<\/p>\n\n\n\n

a0<\/sub>=4\u03c0\u03b50<\/sub>(h\/2\u03c0)2me<\/sub>e2<\/sup>=(h\/2\u03c0)me<\/sub>c\u03b1<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n

Where,<\/p>\n\n\n\n

  • ao<\/sub>\u00a0is the Bohr radius.<\/li>
  • me<\/sub>\u00a0is the rest\u00a0mass of electron.<\/li>
  • \u03b5<\/em>o<\/sub>\u00a0is the permittivity of the free space<\/li>
  • ( h \/2 \u03c0 )<\/li><\/ul>\n\n\n\n
    • =\u00a0\u0127<\/em>\u00a0is the reduced Planck constant.<\/li>
    • c is the velocity of light in vacuum.<\/li>
    • \u03b1<\/em>\u00a0is the\u00a0fine structure constant.<\/li>
    • e is the elementary charge.<\/li><\/ul>\n\n\n\n

      The Bohr radius can be expressed in Gaussian units as \u2013<\/p>\n\n\n\n

      a 0 <\/sub>= ( h \/2 \u03c0 ) 2 m e<\/sub> e 2<\/sup><\/p>\n\n\n\n

      Use<\/h2>\n\n\n\n

      Although the Bohr model is no longer used in physics, the Bohr radius is highly used due to its promising presence in calculating other fundamental physical constants.<\/p>\n\n\n\n

      For example<\/p>\n\n\n\n

      • Atomic unit<\/li>
      • Fine structure constant<\/li><\/ul>\n","protected":false},"excerpt":{"rendered":"

        In atomic, physics, Bohr Radius is a physical constant, expressing the most probable distance between the electron and the nucleus in a Hydrogen atom in the ground state. Denoted by ao or rBohr. Due to his prime role in building the Bohr model, This physical constant is named after him. Bohr Radius (ao or rBohr) The value […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[710],"tags":[],"_links":{"self":[{"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/posts\/3068"}],"collection":[{"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/comments?post=3068"}],"version-history":[{"count":0,"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/posts\/3068\/revisions"}],"wp:attachment":[{"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/media?parent=3068"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/categories?post=3068"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/tags?post=3068"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}