QUESTION: Calcium forms a face-centered cubic crystalline structure with a density of 1.55 g/cm^3. What is its atomic radius (in pm)? *Please use the pictures provided (the formula and some values that can be substituted
QUESTION: Calcium forms a face-centered cubic crystalline structure with a density of 1.55 g/cm^3. What is its atomic radius (in pm)? *Please use the pictures provided (the formula and some values that can be substituted
Chemistry: Principles and Practice
3rd Edition
ISBN:9780534420123
Author:Daniel L. Reger, Scott R. Goode, David W. Ball, Edward Mercer
Publisher:Daniel L. Reger, Scott R. Goode, David W. Ball, Edward Mercer
Chapter11: Liquids And Solids
Section: Chapter Questions
Problem 11.74QE
Related questions
Question
QUESTION: Calcium forms a face-centered cubic crystalline structure with a density of 1.55 g/cm^3. What is its atomic radius (in pm)?
*Please use the pictures provided (the formula and some values that can be substituted
![P:
nA
VCNA
Where: p density (g/cm³)
n = no. of atoms/ unit cell
A = atomic weight (g/mol)
Important
conversion factors
1 cm = 107 nm
1 cm = 10¹⁰ pm
1 cm = 10⁰ Å
1 nm = 10 Å
Vc = volume / unit cell (cm³/unit cell) = a³
NA = Avogadro's number = 6.022x10²3 atoms/mol](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fada1ab87-4039-474f-9cb0-3d144145dbbd%2F0620979f-65a3-4a17-9495-03104f16f526%2Fx66xl8l_processed.png&w=3840&q=75)
Transcribed Image Text:P:
nA
VCNA
Where: p density (g/cm³)
n = no. of atoms/ unit cell
A = atomic weight (g/mol)
Important
conversion factors
1 cm = 107 nm
1 cm = 10¹⁰ pm
1 cm = 10⁰ Å
1 nm = 10 Å
Vc = volume / unit cell (cm³/unit cell) = a³
NA = Avogadro's number = 6.022x10²3 atoms/mol
![Coordination number
Number of atoms per
unit cell
APF (%)
Relationship of r and a
SC
6
1
52
r =
1
2
α
BCC
8
2
68
r =
√3
4
a
FCC
12
4
74
r =
√2
4
a](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fada1ab87-4039-474f-9cb0-3d144145dbbd%2F0620979f-65a3-4a17-9495-03104f16f526%2Flgtzsan_processed.png&w=3840&q=75)
Transcribed Image Text:Coordination number
Number of atoms per
unit cell
APF (%)
Relationship of r and a
SC
6
1
52
r =
1
2
α
BCC
8
2
68
r =
√3
4
a
FCC
12
4
74
r =
√2
4
a
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