A shim coil arrangement for at least one extremity of a patient such as a forearm and/or a hand for use in a magnetic resonance device is provided. The shim coil arrangement is arranged surrounding a receptacle for the at least one extremity. At least two planar shim coils having a common coil plane that lies at right angles to a direction of a basic magnetic field of the magnetic resonance device in a usage state and/or to a longitudinal direction of the receptacle are arranged around a circumference of the receptacle. A plurality of coil planes succeeding one another in the direction of the basic magnetic field of the magnetic resonance device in the usage state and/or the longitudinal direction of the receptacle and at right angles to the direction of the basic magnetic field and/or the longitudinal direction are provided with at least two planar shim coils.