The amphibole-plagioclase NaSi-CaAl exchange thermometer by Holland and Blundy (1994) (expression B) has been extensively applied to calcic amphibole-bearing assemblages from metamorphic and igneous rocks, whereas the more recent calibrations of the amphibole-only thermometer by Ridolfi and Renzulli (2012) (expression 2) and Putirka (2016) (expressions 5 and 6) are employed for determining amphibole-saturation temperatures in hydrous magmas. However, a test of these expressions performed on experimental data compiled from the literature reveals significant inaccuracies, tending expression B to underestimate temperatures in high-Mg amphibole, and the amphibole-only expressions to overestimate temperatures in amphibole with either low Mg or high AlVI occupancies. Amphibole NaM4 and Fe3+ occupancies can also affect significantly the accuracy of expression B.In this work, we present three new accurate calibrations (expressions A1, A2, and B2) of the amphibole-plagioclase NaSi-CaAl exchange thermometer calculated by robust regression methods based on multiple maximum-likelihood estimators (MM-estimators; Yohai 1987), considering various calibration and test data subsets to evaluate the robustness of the derived parameters in the thermodynamic models, and the accuracy and precision of the expressions. Non-ideality in plagioclase was corrected using the ternary feldspar solution model of Elkins and Grove (1990) in expressions A1 and A2, whereas the simplified version of the Darken’s Quadratic Formalism (DQF) approach of Holland and Powell (1992) was used in expression B2. The formulation of the multisite macroscopic solution model of Powell and Holland (1993) was used for deriving the mixing parameters of amphibole in the three calibrations. Expression B2 is strictly pressure-independent, while the two others show a negligible dependence on pressure for plagioclase with low orthoclase component (<11 mol%). The three calibrations yield an overall precision close to those reported for the tested amphibole-based thermometers but are significantly more accurate, a requisite for an unambiguous interpretation of precision.The new expressions can be used in a wide range of igneous and high-grade metamorphic rocks that bear subcalcic to calcic amphibole and oligoclase or more calcic plagioclase. However, they must be applied only to amphibole-plagioclase pairs whose compositions lie in the optimal region of use prescribed in the work.

中文翻译：

---

闪石-斜长石NaSi-CaAl交换温度计的重新评估及其在火成岩和高级变质岩中的应用

Holland and Blundy（1994）（表达式B）的闪石-斜长石NaSi-CaAl交换温度计已广泛应用于变质和火成岩含钙闪石的组合，而Ridolfi和Renzulli（2012）（表达式2）和Putirka（2016）（表达式5和6）用于确定含水岩浆中的闪石饱和温度。但是，对根据文献汇编的实验数据进行的这些表达的测试显示出明显的不准确性，在低Mg或高AlVI占有率的情况下，倾向于使表达B低估高Mg闪石的温度，而仅对闪石表达则高估了闪石的温度。 。闪石NaM4和Fe3 +的占用也会显着影响B的准确性。在这项工作中，我们介绍了通过基于稳健回归方法计算出的闪石-斜长石NaSi-CaAl交换温度计的三个新的精确校准值（表达式A1，A2和B2）在多个最大似然估计器（MM估计器； Yohai 1987）上，考虑了各种校准和测试数据子集，以评估热力学模型中导出参数的鲁棒性，以及表达式的准确性和精确性。使用Elkins和Grove（1990）的三元长石溶液模型在表达式A1和A2中修正了斜长石的非理想性，而在表达式中使用了Holland和Powell（1992）的Darken二次形式主义（DQF）方法的简化版本。 B2。Powell和Holland（1993）的多站点宏观溶液模型的公式被用来推导出在三个校准中闪石的混合参数。表达式B2严格不依赖于压力，而其他两个表达式显示低正原酶成分（<11 mol％）的斜长石对压力的影响可忽略不计。这三个校准的整体精度接近测试的基于闪石的温度计所报告的精度，但精度更高，这是对精度进行明确解释的必要条件。新表达式可用于各种火成岩和高级变质岩钙质的角闪石和寡聚半乳糖或更多的钙质斜长石具有较低的钙质的岩石。然而，