Other Allowed Standing Waves No nodes One node (at x=4) Two nodes(x=号，) Three nodes(x=是，是，) -11
Other Allowed Standing Waves No nodes One node (at x= ) d 2 Two nodes (x= , ) d 3 2d 3 Three nodes (x= , , ) d 4 3d 4 d 2 II-11
More Nodes Higher Energy No nodes One node (x=$) Lowest Energy Next Lowest Energy Two nodes(x=号，) Three nodes(k=号，是，) Higher Energy Even Higher Energy Ⅱ-12
More Nodes = Higher Energy No nodes Lowest Energy Next Lowest Energy Higher Energy Even Higher Energy One node (x= ) d 2 Two nodes (x= , ) d 3 2d 3 Three nodes (x= , , ) d 4 3d 4 d 2 II-12
Quantization No nodes One node (x=4) 2 Lowest Energy Next Lowest Energy Two nodes (x=号，) Three nodes(x-4,是，) 。 Only certain wavefunctions are allowed solutions The“Quantum Number'”defines each wavefunction and its energy Π-13
Quantization Only certain wavefunctions are allowed solutions The “Quantum Number” defines each wavefunction and its energy No nodes Lowest Energy Next Lowest Energy One node (x= ) d 2 Two nodes (x= , ) d 3 2d 3 Three nodes (x= , , ) d 4 3d 4 d 2 II-13