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भारतीय रसायन के पिता आचार्य प्रफुल्ल चंद्र रे की जयंती पर व्याख्यान का आयोजन

भारतीय रसायन के पिता आचार्य प्रफुल्ल चंद्र रे की जयंती पर व्याख्यान का आयोजन विज्ञान भारती उदयपुर इकाई एवं बीएन कॉलेज ऑफ फार्मेसी, बीएन विश्वविद्यालय के संयुक्त तत्वावधान में कार्यक्रम सम्पन्न उदयपुर, 2 अगस्त। भारतीय रसायन के पिता आचार्य प्रफुल्ल चंद्र रे की जयंती के अवसर पर विज्ञान भारती उदयपुर इकाई (चित्तौड़ प्रांत) एवं बीएन कॉलेज ऑफ फार्मेसी, बीएन विश्वविद्यालय के संयुक्त तत्वावधान में एक विशेष व्याख्यान का आयोजन किया गया। कार्यक्रम का उद्देश्य आचार्य पी.सी. रे के वैज्ञानिक योगदान एवं उनके देशभक्ति से ओतप्रोत जीवन पर प्रकाश डालना था। ज्ञातव्य है कि भारत की पहली फार्मा कंपनी आचार्य रे ने ही बंगाल केमिकल एंड फार्मास्यूटिकल्स लिमिटेड, कोलकाता में 1901 में प्रारंभ की थी। कार्यक्रम में विज्ञान भारती के उद्देश्य एवं गतिविधियों की जानकारी डॉ. अमित गुप्ता द्वारा दी गई। आचार्य पी.सी. रे के जीवन और कार्यों पर मुख्य व्याख्यान डॉ. लोकेश अग्रवाल द्वारा प्रस्तुत किया गया। उन्होंने बताया कि कैसे आचार्य रे ने विज्ञान को समाज की सेवा का माध्यम बनाया और रसायन विज्ञान में भारत को आत्मनिर्भर बनान...
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Fermi Dirac Statistics

Fermi Dirac Statistics

  • It is applied to Fermions or Fermi particles, i.e. indistinguishable particle with half integral spin.
  • Particles are indistinguishable from each other.
  • Each cell or sublevel may contain 0 or 1 particle i.e., gi,  >> ni
  • Total number of particles of system remain constant, n = Σni  = constant
  • Sum of energies of all the particles in the different groups taken together i.e., total energy of the system remain constant E = Σniεi  = constant

  • Consider a system of n independent identical particles having half integral spin.
  • These particles be divided into quantum groups or levels such that
  • Energy levels    ε1, ε2, ε3, ...εi 
  • Degeneracies    g1, g2, g3, ...gi 
  • Occupation number    n1, n2, n3, ...ni 

  • Consider a box, divide it into gi  sections, distribute ni particles among them.
  • Number of ways to put first particle in any one of the iih  level = gi 
  • Number of ways to put second particle in the remaining (gi  – 1) state = (gi  – 1)
            …     …     …     …     …     …
  • Total number of ways to distribute ni  particles in gi  states = gi (gi  – 1) (gi  – 2) ... (gi – ni + 1)

  • Sterling approximation log x! = x log x – x


    • To know about this lecture in more detail please visit on https://youtu.be/Tap561DKzIw
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