Packing Fraction of SCC, BCC & FCC 🔥| Density Numericals | Solid State Lecture 5 Part -2 | VBU SEM-2
Gautam Kumar
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Packing Fraction of SCC, BCC & FCC 🔥| Density Numericals | Solid State Lecture 5 Part -2 | VBU SEM-2
44 просмотра · 4 дн. назад
Gautam Kumar
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44 просмотра · 4 дн. назад
💎 *SOLID STATE CHEMISTRY – LECTURE 5 (PART 2)*
Namaskar students! Welcome back to *Chemistry with Gautam* 🧪🎓
In this lecture, we will understand one of the most important topics in Solid State Chemistry: *Packing Fraction, Close Packing Arrangements (CCP & HCP), and Density Calculations for Cubic Crystals.*
All concepts are explained step by step with diagrams, formulas, and important numerical relationships to help you prepare for university examinations and competitive entrance exams.
📚 *TOPICS COVERED IN THIS LECTURE*
✅ Packing Fraction of Simple Cubic (SC) Crystal
✅ Packing Fraction of Body-Centred Cubic (BCC) Crystal
✅ Packing Fraction of Face-Centred Cubic (FCC) Crystal
✅ Step-by-Step Calculation of Packing Efficiency
✅ Close-Packed Structures: CCP and HCP
✅ CCP Stacking Pattern: ABCABCABC…
✅ HCP Stacking Pattern: ABABABAB…
✅ Density of Cubic Crystals
✅ Density Formula and Its Derivation
✅ Density Calculations for SC, BCC and FCC Crystals
✅ Important Formulas for Numerical Problems
📐 *IMPORTANT FORMULAS*
*Packing Fraction:*
Packing fraction = Volume occupied by particles / Total volume of unit cell
Approximate packing efficiencies:
• Simple Cubic (SC): 52%
• Body-Centred Cubic (BCC): 68%
• Face-Centred Cubic (FCC/CCP): 74%
*Density of a Unit Cell:*
\[
\rho = \frac{nM}{N_Aa^3}
\]
Where:
• \(\rho\) = Density of the crystal
• \(n\) = Number of particles per unit cell
• \(M\) = Molar mass
• \(N_A\) = Avogadro constant
• \(a\) = Edge length of the cubic unit cell
🎯 *WHO SHOULD WATCH THIS VIDEO?*
This lecture is useful for:
• B.Sc. Chemistry Semester 2 students
• Vinoba Bhave University (VBU), Hazaribagh – affiliated colleges
• Session 2025–29 students
• Students preparing for CUET-PG, IIT-JAM, CSIR-NET, GATE and TIFR examinations
🎓 *LECTURE DETAILS*
📖 Subject: Solid State Chemistry
📌 Lecture: 5 (Part 2)
🏫 University: Vinoba Bhave University, Hazaribagh
📚 Semester: 2
📅 Session: 2025–29
👨🏫 Educator: Gautam Kumar
📺 Channel: Chemistry with Gautam
💡 *LEARN THE CONCEPT, UNDERSTAND THE FORMULA, AND SOLVE THE NUMERICAL!*
👍 LIKE this video if it helps you understand the concepts.
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💬 *COMMENT BELOW:* Which packing fraction is the most difficult to calculate — SC, BCC, or FCC?
Thank you for learning with Chemistry with Gautam!
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