| 11. | When subjected to external forces, like electrical fields, the shape of an atom may deviate from spherical symmetry.
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| 12. | Dimension 3 is particularly studied see point groups in three dimensions, polyhedral groups, and list of spherical symmetry groups.
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| 13. | His calculations showed that implosion would work if it did not depart by more than 5 % from spherical symmetry.
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| 14. | Due to the spherical symmetry of the system, it is natural to use spherical coordinates r, \ theta and \ phi.
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| 15. | An example of approximate spherical symmetry is the Earth ( with respect to density and other physical and chemical properties ).
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| 16. | It is a common approximation to assume spherical symmetry, allowing one to remove the orientational ( angular ) degrees of freedom.
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| 17. | This was a boon for problems possessing spherical symmetry, such as those of celestial mechanics originally studied by Laplace and Legendre.
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| 18. | It is the rotation group of the sphere and all objects with spherical symmetry, if the origin is chosen at the center.
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| 19. | Reflectional spherical symmetry is isomorphic with the orthogonal group O ( 3 ) and has the 3-dimensional discrete point groups as subgroups.
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| 20. | A scalar field has spherical symmetry if it depends on the distance to the origin only, such as the potential of a central force.
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