Supplementary information to: “Processes and timescales of dacite magma assembly and eruption at Tauhara volcano, Taupo Volcanic Zone, New Zealand” by Marc-Alban Millet, Chelsea Tutt, Monica R. Handler and Joel A. Baker Sample selection and preparation All rock samples used in this study come from the Victoria University of Wellington (VUW) collection (sample numbers: 19421–19527). This sample suite is that of Worthington (1985) and was based on outcrop locations and accessibility. In total, 292 samples were collected from six domes (Western, Central, Hipaua, Trig M, Breached and Main domes), as well as associated pyroclastic flows. From these samples, 115 samples were selected by Worthington (1985) for whole-rock major and (some) trace element analyses. Thirty-three samples were selected from these 115 samples for this study, based on major element variations, and analyzed for trace elements. Amongst these, 21 samples were analysed for whole-rock Sr–Pb isotopes. One representative sample from each dome was subjected to detailed in situ mineral major and trace element analysis. Weathered surfaces were removed using a diamond saw and the remaining unaltered rock was cut into small rectangular slabs. One slab was used to make thin sections (30 μm thick) for petrography and a second slab was used to make thick sections (100 μm thick) for in situ mineral major and trace element analysis. Approximately 50 g of rock chips was crushed using a Fritsch Pulverisette in order to extract rock chips and crystals ranging from 5 mm to <250 μm in size. The crushed rock was passed through a 250 μm sieve to remove any powder and fine-grained crystal fragments. A hand magnet was passed over the samples to remove magnetite‐bearing groundmass. Groundmass chips that were 1–2 mm in size without obvious phenocrysts were then handpicked from this separate for Sr–Pb isotope analysis. Specific crystal types were handpicked under a binocular microscope from the crystal separate, including: clinopyroxene, amphibole and small plagioclase (<1 mm) crystals for bulk Sr–Pb isotope analyses; large (>2 mm) plagioclase phenocrysts for single crystal Sr–Pb isotope analyses; whole quartz crystals for cathodoluminescence imaging. All crystal and rock chip separates were rinsed with >18.2 MΩ H2O and ultrasonicated for 5 min. Each separate was then rinsed three times with >18.2 MΩ H2O and the solution decanted before drying in an oven at 50°C. Quartz crystals were mounted in Epo‐tek 301 1LB kit epoxy and hardened at 60°C, prior to carbon coating. The quartz grains were orientated so that the c‐axis was flat. Whole-rock trace element analysis Approximately 60–75 mg of whole-rock powder for each sample was weighed into Savillex® Teflon beakers. Acid digestions were conducted in ultraclean class 10 PicoTrace laminar flow hoods. The samples were first digested in 1 mL of 29 M HF (Seastar®) and 0.3 mL of 16 M HNO3 (Seastar®) and left on a hotplate at 120°C for 5 d. After allowing the beakers to cool, the acid was evaporated to incipient dryness and the sample was then nitrified by evaporation of 1 mL of 16 M HNO3 at 120°C. The residues were then digested in 4 mL of 6 M HCl (Seastar®) for 24 h and inspected for the presence of solids. If a digested sample was solid-free, then the acid was evaporated and the sample nitrified by evaporation of 1 mL of 16 M HNO3 at 120°C (twice), before addition of 10 mL of 1 M HNO3. At this point, the sample was left on a hotplate for 2 d to allow the samples to fully dissolve prior to analysis. However, if any undigested solids remained after 2 d, then the digestion procedure was repeated again from the initial HF–HNO3 digestion step. After diluting the digested sample, trace element analyses were carried out with an Agilent 7500CS ICP-MS. Trace element analyses were carried out by external normalization to bracketing analyses of the USGS standard BHVO‐2, and by using 43 Ca as an internal standard, based on the sample CaO content previously determined by X-ray fluorescence spectrometry. Repeated digestions and dilutions of the USGS standards BHVO‐2 and BCR‐2 were used to assess data accuracy and reproducibility. Elemental analyses are typically accurate to ±5% for both these secondary standards, with the exception of Pb and Mo. Mo is accurate to –17% in BHVO‐2, although the Mo concentration for BHVO‐2 is not well constrained. Accuracy for Pb is +14% and +10% for BHVO‐2 and BCR‐2, respectively (see supplementary data worksheet). In situ major and trace element analysis Prior to in situ analysis, crystals were imaged by either back-scattered electron (all phases except for quartz) or cathodoluminescence (quartz) techniques using a JEOL JXA-8230 electron microprobe at Victoria University of Wellington equipped with five wavelength dispersive (WDS) spectrometers. Mineral major element concentrations were determined by electron microprobe analysis (JXA-8230) operated at an accelerating voltage of 15 kV and beam current of 12 nA, using a focused (~1 μm) electron beam. Standardization of element oxide concentrations and count rates was achieved using the NMNH 115900 Plagioclase, Engels Amphibole, Kakanui Augite, Johnson Meteorite Hypersthene, Lake County Plagioclase and Ilmenite Mountains Ilmenite standards. Major element concentrations of the Tauhara minerals were calculated using the ZAF correction method. Analyses of standards were interspersed with the sample measurements to monitor and, if necessary, correct for spectrometer drift. Major element data for mineral standards run as unknowns are given in the supplementary data. In situ trace element analyses of amphibole, clinopyroxene, plagioclase and quartzhosted melt inclusions were made with a New Wave 193 nm (deep UV) laser ablation (LA) system coupled to an Agilent 7500CS ICP-MS at Victoria University of Wellington. 43Ca was used as an internal standard for mineral analyses based on CaO contents previously measured by electron microprobe analysis. 29 Si was used as an internal standard for melt inclusion analyses. Calculation of trace element concentrations by LA-ICP-MS analysis also requires bracketing analyses of a well characterized and, preferably, matrix-matched reference material (i.e., a calibration standard). Given that there are no widely available and well characterized mineral trace element standards, we used the basaltic glass BHVO-2G as the calibration standard for amphibole and clinopyroxene and the Si–Al-rich glass NIST612 as the calibration standard for plagioclase and the melt inclusions. The BHVO-2G and NIST612 reference values used were the “preferred values” from the online GeoReM as of July 2010. Tuning and optimization of signal sensitivity and stability was achieved whilst laser rastering across the BHVO-2G standard. LA-ICP-MS data were acquired for 60 s during ablation of a 25–35 μm diameter pit at 5 Hz. Background count rates were measured for 60 s prior to each analysis. Trace element concentrations for standards run as unknowns are given in the supplementary data. Sr–Pb isotope measurements All samples for Sr–Pb isotopic analysis were weighed into pre-cleaned Savillex® beakers and subsequently acid leached to remove any anthropogenic or secondary contamination following procedures similar to that described by Millet et al. (2008). Rock standards analysed for Sr–Pb isotopes were not leached. For whole-rock samples, 500 mg of powder was leached in 6 M HCl at 120ºC for 2 h (once). Groundmass chips (ca. 50 mg) were twice leached in 6 M HCl at 120ºC for 2 h. Mineral separates were leached three times in 2 M HCl at 20ºC for 20 min and washed with >18.2 MΩ H2O between each leaching step. After leaching, all samples were digested in 1 mL of 29 M HF and 0.2 mL 16 M HNO3 for 24 h at 120°C and then evaporated. The samples were then nitrified twice by evaporation of 1 mL of 16 M HNO3. The samples were then brought into solution in 3 mL of 0.8 M HBr at 120°C for 24 h to equilibrate the sample into bromide form. Samples were then dried down and redissolved in 1.5 mL of 0.8 M HBr. Pb was separated following the anion exchange procedures described by Baker et al. (2004). Sr and matrix were collected in 0.8 M HBr and Pb was eluted in 6 M HCl. The Pb cut was further purified by a second pass through the anion exchange chemistry. The Sr and matrix cut was evaporated, converted to nitrate form, and dissolved in 3M HNO3 for Sr separation using the methods outlined in Waight et al. (2002). Sr–Pb isotope measurements were made with a Nu Plasma MC-ICP-MS coupled to a DSN-100 desolvating nebulizer at Victoria University of Wellington. Pb isotope ratios were measured by sample–standard bracketing using SRM981 as the bracketing standard (reference values taken from Baker et al., 2004). Pb isotope data accuracy and precision were evaluated by repeated measurements of the JB2 standard (see supplementary data). Precision reached over the course of this study is ±238, ±211 and ±270 ppm (2 sd for 206 Pb/204Pb, 207 Pb/204Pb and 208 Pb/204Pb) and analyses are accurate within this precision. Sr isotope ratios were corrected for instrumental mass bias by internal normalization to 86 Sr/88Sr = 0.1194 and any instrumental drift was corrected by sample–standard bracketing using SRM987. Sr isotope ratios are reported relative to an 87 Sr/86Sr ratio of 0.710248 for SRM987. Repeated measurements of the BHVO-2 basalt standard were carried out to assess Sr isotope data quality (see supplementary data). Measurements carried out at 8V of 88Sr provide an average of 0.703463 ± 0.000019, in agreement with the reference value given by Georem (0.703469 ± 0.000017). Measurements of small plagioclase crystals were carried out with a smaller beam of 2V of 88 Sr. BHVO-2 measurements carried out at this intensity gave an average of 0.703504 ± 0.000094 (2 sd; n = 3). This worse precision is due to the stronger effect of variable 86Kr interference on 86Sr. Amphibole–dacite Kd calculations Amphibole–dacite partition coefficients were calculated by dividing the trace element content of amphiboles (measured by LA-ICP-MS) by that of the groundmass. The trace element concentrations in the groundmass were calculated using both wholerock and crystal specific data and modal proportions of groundmass and crystal phases taken into account in this calculation (i.e., plagioclase, amphibole and clinopyroxene). Although the modal proportions of other phases like quartz, orthopyroxene or Fe-Ti oxides were taken into account, we did not subtract their composition because we did not carry out LA-ICP-MS analysis on these phases. Given that a large amount of transition metals are hosted in orthopyroxene and Fe–Ti oxides, this prevents calculation of Kd for these elements. Another issue with this calculation is the potential destabilization of plagioclase. Due to the high concentration of Eu in plagioclase relative to the melt, this can artificially generate a high amphibole–melt Eu partition coefficient. For this reason we did not include Eu in our calculations. Errors on final amphibole–melt partition coefficients take into account the 1 sd of each population of amphibole investigated (Western Dome, Central Dome, Hipaua Dome, Trig M Dome, Breached Dome, Main Dome deep and Main Dome shallow) as well as the reproducibility of the whole rock trace element dataset (see Supplementary Data). Diffusion modeling Modeling of Ti diffusion in quartz crystals was undertaken following the 1D strategy of Morgan et al. (2004). We focused on the boundaries between high titanium bright crystal rims and low titanium lower contrast cores, which are inferred to record the mixing of a new mafic magma with the silicic magma originally hosting the quartz crystals. Modeling is based on grey scale images obtained by cathodoluminescence. Only straight boundaries were modeled and diffusion times were calculated by fitting an error function on the grey scale profile (see Morgan et al., 2004 for equations). The diffusion coefficient of Ti in quartz is highly dependent on temperature, but dependence on crystal orientation is minimal (Cherniak, 2010). Since amphiboles grew in equilibrium with the mixed dacites, we used apparent temperatures obtained from amphibole thermometry (Ridolfi and Renzulli, 2012) to calculate diffusion coefficients. Given that the core and rims of amphiboles record similar temperatures (apart from Main Dome), we used the average of apparent temperatures for each dome (and that of amphibole cores for Main Dome), and propagated the one standard deviation of these averages onto calculated diffusion coefficients and diffusion timescales. For samples where multiple diffusion times could be calculated, we then calculated the probability density function for each sample. Times given for an averaged sample are the peak probability times, and the errors associated with it are the 95% confidence interval. References Baker, J. A., Peate, D., Waight, T. E. & Meyzen, C. (2004). Pb isotopic analysis of standards and samples using a 207 Pb–204Pb double spike and thallium to correct for mass bias with a double focusing MC‐ICP‐MS. Chemical Geology 211, 275–303. Cherniak, D. J. (2010). Diffusion in quartz, melilite, silicate perovskite, and mullite. In: Zhang, Y. & Cherniak, D. J. (eds) Diffusion in Minerals and Melts. Reviews in Mineralogy and Geochemistry 72, 735–756. Millet, M.-A., Doucelance, R., Schiano, P., David, K. & Bosq, C. (2008). Mantle plume heterogeneity versus shallow-level interactions: A case study, the São Nicolau Island, CapeVerde archipelago. Journal of Volcanology and Geothermal Research 176, 265–276. Morgan, D. J., Blake, S., Rogers, N. W., De Vivo, B., Rolandi, G., Macdonald, R. & Hawkesworth, C. J. (2004). Time scales of crystal residence and magma chamber volume from modelling of diffusion profiles in phenocrysts: Vesuvius 1944. Earth and Planetary Science Letters 222, 933–946. Ridolfi F. & Renzulli A. (2012) Calcic amphiboles in calc-alkaline and alkaline magmas: thermobarometric and chemometric empirical equations valid up to 1,130°C and 2.2 GPa. Contributions to Mineralogy and Petrology, 163, 877–95. Waight T, Baker J.A. & Peate D. (2002) Sr isotope measurements by double-focusing MC-ICP-MS: techniques, observations and pitfalls. Int. J. Mass Spectrom. 221 (3), 229–244. Worthington, T. J. (1985). Geology and petrology of the Tauhara Volcanic Complex, Taupo, New Zealand. M.Sc. thesis, Victoria University of Wellington, New Zealand.