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# Schrodinger Equation ### Equation: $\frac{d²y}{dx²} + \frac{d²y}{dy²} + \frac{d²y}{dz²} + \frac{8π²m}{h²}(E - V)ψ = 0$ ### Where: - ψ is a function which actually going to represent the orbital - m is the mass of the orbital - h is the planks constant - E is the total energy - V is the potential...
# Schrodinger Equation ### Equation: $\frac{d²y}{dx²} + \frac{d²y}{dy²} + \frac{d²y}{dz²} + \frac{8π²m}{h²}(E - V)ψ = 0$ ### Where: - ψ is a function which actually going to represent the orbital - m is the mass of the orbital - h is the planks constant - E is the total energy - V is the potential energy ### Acceptable Wave Function / Well Behaved Wave Function: #### Conditions: 1. ψ must be single value and finite. 2. ψ must be continuous. 3. ψ must become must become slower than infinity 4. ψ must be orthonormal to eachother. ### Orthonormal: - **Normalization:** - ∫Φ1∗Φ1dr = 1 - ∫Φdr = 1 - **Orthogenatigation** - ∫Φ1∗Φ2dr = 0 ### Eigden Value: The value of total energy (E) for which the wave of equation can have significant solution are called Eigden value.