Study Guides/Chemistry/Isodiaphers in Nuclear Chemistry
Study Guide · Chemistry

Isodiaphers — Definition and Examples

Isodiaphers are atoms (nuclides) that have the same neutron excess, i.e., the same value of (N − Z), where N is the number of neutrons and Z is the number of protons (atomic number). They are also called isodiaphere pairs.

Question (Click to Flip)

What is the relationship between isodiaphers and alpha decay?

Answer

When a nucleus emits an alpha particle (2 protons + 2 neutrons), both N and Z decrease by 2, so N-Z remains the same. Therefore, parent and daughter nuclei in alpha decay are always isodiaphers.

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Key Facts

Isodiaphers are related by alpha decay — when a nucleus emits an alpha particle (₂⁴He, which has N-Z=0), the parent and daughter nuclei have the same neutron excess and are thus isodiaphers of each other.

Definition with Example

The neutron excess = N − Z = (Mass Number − Atomic Number) − Atomic Number = A − 2Z

Example:

  • ¹⁹F (Fluorine): A=19, Z=9, N=10. N-Z = 10-9 = 1
  • ²³Na (Sodium): A=23, Z=11, N=12. N-Z = 12-11 = 1
  • ¹⁹F and ²³Na are isodiaphers (both have N-Z = 1)

Another example: ³H (Tritium, N-Z=2) and ⁷Li (Lithium, N-Z=4... wait let me recalculate)

  • ³H: N=2, Z=1, N-Z=1
  • ⁷Li: N=4, Z=3, N-Z=1 ✓ (isodiaphers)

Comparison with Related Terms

TermSame Property
IsotopesSame atomic number (Z), different mass number
IsobarsSame mass number (A), different atomic number
IsotonesSame number of neutrons (N)
IsoelectronicSame number of electrons
IsodiaphersSame neutron excess (N − Z)

Questions and Answers

What is the relationship between isodiaphers and alpha decay?+

When a nucleus emits an alpha particle (2 protons + 2 neutrons), both N and Z decrease by 2, so N-Z remains the same. Therefore, parent and daughter nuclei in alpha decay are always isodiaphers.

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