def paramsDictNormalized2Physical(params, params_range):
    """Converts a dictionary of normalized parameters into a dictionary of physical parameters."""
    
    # create copy of dictionary
    params = dict(params)
    
    for key, val in params.items():
        params[key] = val * (params_range[key][1]-params_range[key][0]) + params_range[key][0]
    return params