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Income Taxes - Deferred tax assets (Details) - USD ($) | 11 Months Ended | 12 Months Ended
--- | --- | ---
Dec. 31, 2021 | Dec. 31, 2021 | Dec. 31, 2020
Components of Deferred Tax Assets [Abstract] |  |  |
Net operating loss carryforward | $ 107,979,000 | $ 107,979,000 | $ 104,301,000
Deferred tax assets, gross | 114,881,000 | 114,881,000 | 110,417,000
Valuation allowance | (113,276,000) | (113,276,000) | (108,300,000)
Unrecognized tax position | 0 | 0 |
Accrued interest and penalties | 0 | 0 | $ 0
AMCI ACQUISITION CORP. II |  |  |
Components of Deferred Tax Assets [Abstract] |  |  |
Start-up/Organization costs | 210,307 | 210,307 |
Net operating loss carryforward | 79,874 | 79,874 |
Deferred tax assets, gross | 290,181 | 290,181 |
Valuation allowance | (290,181) | (290,181) |
Domestic | AMCI ACQUISITION CORP. II |  |  |
Components of Deferred Tax Assets [Abstract] |  |  |
Net operating loss carryforward | $ 380,351 | $ 380,351 |

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- Definition Amount before allocation of valuation allowances of deferred tax asset attributable to deductible temporary differences and carryforwards. + References Reference 1: http://www.xbrl.org/2003/role/disclosureRef -Publisher FASB -Name Accounting Standards Codification -Topic 740 -SubTopic 10 -Section 50 -Paragraph 2 -Subparagraph (b) -URI https://asc.fasb.org/extlink&oid=121826272&loc=d3e32537-109319 + Details
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