
The radial wave function of an orbital is for H-atom. The wave function is for-(notations have their usual meaning)
A.
B.
C.
D.
Answer
142.2k+ views
Hint: The wave function for Hydrogen atoms depends upon three variables one of which is which gives the electron's angular momentum.
Step-by-Step Solution: We are given the radial wave function of an orbital =
Where r=radius in atomic units, Z= the effective nuclear charge for that orbital in that atom
e= . We have to find the wave function.
The wave function gives crucial information about the electron’s energy, angular momentum and orbital orientation. The wave function for a hydrogen atom depends upon three variables one of which is which gives the electron's angular momentum.
And the radial wave function of an orbital = is for orbital because it gives
.
Hence the correct answer is A.
Additional Information: Wave function is a mathematical function represented by φ(psi). Wave function can also be expressed as the product of radial wave function R and angular wave function. The R radial wave function of an atom depends upon the atomic radius only while angular function depends only on direction thus describes the shape of an orbital. Thus we can write-
φ=R×Y
Note: The wave function can be calculated exactly only for atoms with one electron like hydrogen, and other atoms having only one electron. This means that wave function is possible only for said one-electron system which is also described as hydrogenic. Hydrogenic means ‘like hydrogen’. Wave function can be obtained by solving the Schrödinger equation. It explains why there is a single orbital, why there are three orbitals and so on.
Step-by-Step Solution: We are given the radial wave function of an orbital =
Where r=radius in atomic units, Z= the effective nuclear charge for that orbital in that atom
e=
The wave function gives crucial information about the electron’s energy, angular momentum and orbital orientation. The wave function for a hydrogen atom depends upon three variables one of which is
And the radial wave function of an orbital =
Hence the correct answer is A.
Additional Information: Wave function is a mathematical function represented by φ(psi). Wave function can also be expressed as the product of radial wave function R and angular wave function. The R radial wave function of an atom depends upon the atomic radius only while angular function depends only on direction thus describes the shape of an orbital. Thus we can write-
Note: The wave function can be calculated exactly only for atoms with one electron like hydrogen,
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