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Preheat the oven to 350°F
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Butter 10 inch spring form pan; cut out parchment paper circle to fit in the bottom of the pan and butter it, too
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Wrap three layers of heavy duty foil around the outside of the pan to the top of the rim (not because the cake will rise above the pan, but to ensure water from the Bain Marie will not seep into the pan)
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Scale chocolate on the lid of the TM bowl; chop into small chunks for 2 seconds on Turbo three times until fine and set aside
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Without cleaning the TM bowl, scale espresso and sugar into it and set time to 9 minutes at Varoma temperature, speed 2
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Heat a pot or kettle of water on the stove for the Bain Marie
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Cooled espresso syrup to 37°C; scale butter and chocolate into the TM bowl with the sugar syrup remaining and set time to 4 minutes, temp to 37°C at speed reverse 2 (do not put chocolate in earlier as it will seize; 37C in the Thermomix works well, but even at 40C, some chocolate may seize and you will have hard bits in the cake)
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Insert butterfly into the TM bowl: and set the time to 90 seconds; whisk at speed 3-4 adding eggs through lid, one at a time (crack each into a separate dish first)
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Pour batter into prepared pan
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Place cake pan into the bottom of a large roasting pan; carefully pour hot water into roasting pan to come half way up sides of cake
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Bake until centre no longer moves when pan is gently shaken, 45 to 50 minutes
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Remove from hot water bath and foil immediately; transfer to rack and cool completely in pan