Cartesian and Polar Coordinate Systems

Cartesian Coordinate System
Polar Coordinate System
x = r sin
θ
 cos ø
y = r sin
θ
 sin ø
z = r cos 
θ
r
2
 = x
2
 + y
2
 + z
2
Cartesian & Polar Coordinate 
Θ
 = 0 to 180°
Ø = 0 to 360°
Polar Coordinate
Polar Plot of 
cos
θ
  
Pz Orbital
Px Orbital
Py Orbital
Polar Plot of ( 3cos
2
θ
-1)
d
z
2
 Orbital
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Explore the concepts of Cartesian and Polar coordinate systems, including their formulas and visual representations. Dive into the relationships between Cartesian and Polar coordinates, as well as their applications in mathematics and physics. Discover orbital shapes such as Px, Py, Pz, and dz2 orbitals through graphical plots and diagrams.

  • Coordinate Systems
  • Mathematics
  • Physics
  • Orbital Shapes
  • Graphical Representation

Uploaded on Sep 19, 2024 | 0 Views


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Presentation Transcript


  1. Cartesian & Polar Coordinate Cartesian Coordinate System Polar Coordinate System x = r sin cos y = r sin sin z = r cos r2 = x2 + y2 + z2 = 0 to 180 = 0 to 360

  2. Polar Coordinate

  3. Polar Plot of cos

  4. Pz Orbital

  5. Px Orbital

  6. Py Orbital

  7. Polar Plot of ( 3cos2-1)

  8. dz2 Orbital

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