[pre-commit.ci] auto fixes from pre-commit.com hooks

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physics/Bragg_angle.py

@@ -1,35 +1,34 @@
 """
 Find the Bragg angle of a crystal given the wavelength of radiation, distane between the planes of crystal and the order of diffraction.
 
-In many areas of science, Bragg's law, Wulff–Bragg's condition, or Laue–Bragg interference are a special case of Laue diffraction, 
-giving the angles for coherent scattering of waves from a large crystal lattice. 
-It describes how the superposition of wave fronts scattered by lattice planes leads to a strict relation between the wavelength and scattering angle. 
-This law was initially formulated for X-rays, but it also applies to all types of matter waves including neutron and electron waves if there are a large number of atoms, 
-as well as visible light with artificial periodic microscale lattices.  
-    
+In many areas of science, Bragg's law, Wulff–Bragg's condition, or Laue–Bragg interference are a special case of Laue diffraction,
+giving the angles for coherent scattering of waves from a large crystal lattice.
+It describes how the superposition of wave fronts scattered by lattice planes leads to a strict relation between the wavelength and scattering angle.
+This law was initially formulated for X-rays, but it also applies to all types of matter waves including neutron and electron waves if there are a large number of atoms,
+as well as visible light with artificial periodic microscale lattices.
+
 Reference: https://en.wikipedia.org/wiki/Bragg%27s_law
 
 """
 
-
-
 import math
 
+
 def bragg_angle(distance: float, n: int, wavelength: float) -> float:
     """
     Calculate the Bragg diffraction angle in degrees.
 
     The Bragg diffraction angle is given by
     sin(θ) = (n * λ) / (2 * d)
-    
+
     Parameters:
     distance (float): Distance between crystal planes (in meters).
     n (int): Order of reflection.
     wavelength (float): Wavelength of the radiation (in meters).
-    
+
     Returns:
     float: The Bragg diffraction angle θ in degrees.
-    
+
     Example:
     >>> bragg_angle(2.2e-10, 1, 2.2e-10)
     30.0
@@ -46,19 +45,20 @@ def bragg_angle(distance: float, n: int, wavelength: float) -> float:
         ...
     ValueError: The calculated sine value is out of the valid range.
     """
-    
+
     sine_theta = (n * wavelength) / (2 * distance)
-    
+
     if sine_theta > 1 or sine_theta < -1:
         raise ValueError("The calculated sine value is out of the valid range.")
-    
+
     theta_radians = math.asin(sine_theta)
-    
+
     theta_degrees = math.degrees(theta_radians)
-    
+
     return round(theta_degrees, 1)
 
 
 if __name__ == "__main__":
     import doctest
+
     doctest.testmod(verbose=True)