Part 1: Understanding the Interface

1. Begin the Simulation - Access the Hydrogen Orbital Visualizer in your web browser
2. Familiarize with Controls:
   • Principal Quantum Number (n): Slider from 1 to 7
   • Azimuthal Quantum Number (ℓ): Slider from 0 to (n-1)
   • Magnetic Quantum Number (mₗ): Slider from -ℓ to +ℓ
3. Identify Display Sections:
   • Left Panel: Quantum Controls and Preset Buttons
   • Center: Orbital Visualization Canvas
   • Right Panel: Orbital Information and Energy Display

Part 2: Exploring s-Orbitals (ℓ = 0)

1. Set n = 1, ℓ = 0, mₗ = 0 (1s orbital)
2. Observe the spherical shape
3. Note the energy value: -13.6 eV
4. Set n = 2, ℓ = 0, mₗ = 0 (2s orbital)
5. Compare size with 1s orbital
6. Record your observations below

Part 3: Exploring p-Orbitals (ℓ = 1)

1. Set n = 2, ℓ = 1, mₗ = 0 (2p orbital)
2. Observe the dumbbell shape
3. Change mₗ to -1 and +1, note orientation changes
4. Repeat for n = 3 (3p orbitals)
5. Compare energies across different p-orbitals

Part 4: Exploring d-Orbitals (ℓ = 2)

1. Set n = 3, ℓ = 2, mₗ = 0 (3d orbital)
2. Observe the cloverleaf pattern
3. Vary mₗ from -2 to +2
4. Note the five different d-orbital orientations

Part 5: Exploring f-Orbitals (ℓ = 3)

1. Set n = 4, ℓ = 3, mₗ = 0 (4f orbital)
2. Observe the complex multi-lobed structure
3. Vary mₗ and observe all seven f-orbital shapes

Observation Table

Record your observations in the following table:

S.No.	Orbital	n	ℓ	mₗ	Energy (eV)	Shape Observed
1	1s	1	0	0	-13.6	Spherical
2	2s	2	0	0	-3.4	Spherical (larger)
3	2p	2	1	0	-3.4	Dumbbell
4	3s	3	0	0	-1.51	Spherical (largest)
5	3p	3	1	0	-1.51	Dumbbell (larger)
6	3d	3	2	0	-1.51	Four-lobed cloverleaf
7	4s	4	0	0	-0.85	Spherical (very large)
8	4f	4	3	0	-0.85	Complex multi-lobed

Visualization Modes

Use different visualization modes to understand orbital properties:

Mode	Description	Best For
Outline	Shows orbital boundary	Understanding shape and symmetry
Filled	Shows solid orbital region	Visualizing 3D volume
Probability	Shows electron density distribution	Understanding probability density

Analysis Questions

After completing the observations, answer the following:

1. How does the orbital size change as n increases?
2. What is the relationship between ℓ and orbital shape?
3. How does the magnetic quantum number (mₗ) affect the orbital orientation?
4. Why does energy become less negative as n increases?
5. How many nodal surfaces do you observe in each orbital type?

Precautions

1. Ensure valid quantum number combinations (ℓ < n, |mₗ| ≤ ℓ)
2. Use the Reset button if visualization appears incorrect
3. Allow animation to complete before changing parameters
4. Take screenshots for documentation using the Screenshot button

Conclusion

Based on your observations, write a brief conclusion about:

• The relationship between quantum numbers and orbital properties
• How the visualization helps understand atomic structure
• The significance of probability density in quantum mechanics