利用muSR确定磁矩的贝叶斯方法
A Bayesian approach to magnetic moment determination using muSR
摘要：
零场muSR实验中的一个重大挑战来自μ子位置的不确定性。在给定磁矩μ和磁结构的情况下，可以计算任何特定位置处的偶极子场（从而计算进动频率nu）。我们也可以计算f（nu），假设μ子位置可以在单位晶格内的任何地方以相等的概率，除了物理禁止的位置。由于nu是从实验中得到的，我们想知道的是g（mu| nu），给定观测到的nu的μ的概率密度函数。这可以从我们使用贝叶斯定理计算的f（nu/mu）中获得。我们描述了一种方法来解决这个问题，我们已经用来提取信息的真实系统，包括低矩锇酸盐化合物，一个家庭的分子磁铁，和铁砷化合物。
英文摘要：
A significant challenge in zero-field muSR experiments arises from the uncertainty in the muon site. It is possible to calculate the dipole field (and hence precession frequency nu) at any particular site given the magnetic moment mu and magnetic structure. One can also evaluate f(nu), the probability distribution function of nu assuming that the muon site can be anywhere within the unit cell with equal probability, excluding physically forbidden sites. Since nu is obtained from experiment, what we would like to know is g(mu|nu), the probability density function of mu given the observed nu. This can be obtained from our calculated f(nu/mu) using Bayes' theorem. We describe an approach to this problem which we have used to extract information about real systems including a low-moment osmate compound, a family of molecular magnets, and an iron-arsenide compound.
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