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1
In a medium nonreactive saucepan, cook the fresh raspberries, water, sugar, and salt over medium heat, stirring occasionally, until the mixture just begins to simmer, about 7 minutes.
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2
Pass the mixture through a fine-mesh strainer into a medium bowl, pressing on the solids to extract as much liquid as possible.
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3
Add the lemon juice and Triple Sec or vodka; cover with plastic wrap and chill in the freezer until very cold, about 40u00b0, about 30-40 minutes. Do not let mixture freeze.
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4
When the mixture is cold, using a whisk, whip the cream in a chilled medium bowl until soft peaks form. Whisking constantly, add the chilled juice mixture in a steady stream pouring against the edge of the bowl.
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5
Immediately start the ice cream machine and add the juice/cream mixture to the frozen canister; churn until the sherbet has the texture of soft-serve ice cream, 25-30 minutes.
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6
Remove the canister from the machine and transfer the sherbet to a storage container; press plastic wrap directly against the surface of the sherbet (to prevent ice crystals from forming) and freeze until firm, at least 3 hours. The sherbet can be wrapped well in plastic wrap and frozen for up to one week.
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7
To serve, let the sherbet stand at room temperature until slightly softened and an instant-read thermometer inserted into the sherbet registers 12u00b0 to 15u00b0.