Question

In: Chemistry

Draw the following orbitals according to the radial and angular variations of the wavefunction, including phases....

Draw the following orbitals according to the radial and angular variations of the wavefunction, including phases. Indicate the number of both radial and angular nodes for each orbital. Add axes, if appropriate.

a) 4px b) 6s c) 6dxz d) 5fz3

Solutions

Expert Solution

Angular nodes fpr particular orbital is constant and it does not depend on principal quantum number.

Angular nodes for s orbital = 0

for p orbital = 1

for d orbital = 2

for f orbital = 3

for g orbital = 4

and so on

radial nodes for s orbital = n - 1 (where n is principal quantum number)

  for p orbital = n - 2

  for d orbital = n - 3

  for f orbital = n - 4

  for g orbital = n - 5

and so on

a) 4px has 2 radial and 1 angular nodal plane

Total nodes for 4px orbital = 2+1

= 3

radial probability densities for 4px it has two radial nodes.

b) 6s has 5 radial and 0 angular nodal plane

Total nodes for 6s orbital = 5+0

= 5

c) 6dxz has 3 radial and 2 angular nodal plane

Total nodes for 6dxz orbital = 3+2

= 5

d) 5fz3 has 1 radial and 3 angular nodal plane

Total nodes for 5fz3 orbital = 1+3

= 4

as shown above diagram we can draw the radial probability densities for remaining orbitals also.


Related Solutions

Draw the molecular orbitals for the following compounds and state the number of nodes for each...
Draw the molecular orbitals for the following compounds and state the number of nodes for each along with the number of net bonding interactions. 1.) cycloprpenyl cation 2.) cyclopropenyl anion 3.) cyclobutadiene dianion 4.)cyclopentadienyl cation 5.)cyclopentadienyl anion 6.) cycloheptatrienyl cation
5. Using boxes to represent orbitals, draw the molecular orbital energy level diagrams for the following...
5. Using boxes to represent orbitals, draw the molecular orbital energy level diagrams for the following molecules, with energy increasing vertically, putting electrons into the appropriate orbitals. For each indicate: the bond order and whether the molecule is paramagnetic or diamagnetic. a) B2 b) CN- c) NO d) NO+
5. Draw an entity-relationship diagram, including minimum and maximum cardinality, for the following: The system stores...
5. Draw an entity-relationship diagram, including minimum and maximum cardinality, for the following: The system stores information about two things: cars and owners. A car has attributes for make, model, and year. The owner has attributes for name and address. Assume that a car must be owned by one owner and an owner can own many cars, but an owner might not own any cars (perhaps she just sold them all, but you still want a record of her in...
Draw and label crystal field splitting diagrams (including orbital labels) for the following complexes. Calculate he...
Draw and label crystal field splitting diagrams (including orbital labels) for the following complexes. Calculate he ligand field stabilization energy as a factor of Delta for each complex. a. [Co(OH2)6]2+ b. [RH(NH3)6]2+ c. [NiCl4]2-
Hand draw the following transformations step by step, including all intermediates. Ideally, also show electron pushing...
Hand draw the following transformations step by step, including all intermediates. Ideally, also show electron pushing A. Conversion of asparagine to aspartic and isoaspartic acid in peptides. B. Conversion of aspartic acid to isoaspartic acid in peptides. C. Cleavage of the peptide backbone at the aspartic acid residue. D. Discuss whether acid may catalyze each reaction (A, B or C); i.e., whether the reaction is faster at (pH lower than 7) than at pH 7. E. Discuss whether base may...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT