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| """Metrohm 914 pH/DO/conductometer: template-backed solutions from public standards and the shared pKa table. | |
| Libraries: | |
| * ``assets/reactions/metrohm_914_standards_library/templates.json`` — NIST primary pH buffers pH(S)(T) (certificates), | |
| electrolytic-conductivity reference solutions κ(T), and the Benson–Krause dissolved-oxygen saturation model used | |
| by USGS DOTABLES; | |
| * ``assets/reactions/metrohm_omnis_acidbase_library/templates.json`` — stepwise pKa(T) and pKw(T) (stored once, | |
| shared with the OMNIS titrator) for the pH of an arbitrary weak acid/base solution (ideal charge balance). | |
| The trusted host turns a solution description into the complete explicit truth sample of the legacy | |
| ``Metrohm914Runtime.host_step`` (``host_template_sample``) or does both in one call (``host_step_template``). | |
| Calibration standards carry the real certificate value at the sample temperature, so ``electrochemistry.calibrate`` | |
| must be called with that value (obtainable from ``template.read`` with the same temperature). | |
| """ | |
| from __future__ import annotations | |
| import copy | |
| import math | |
| from typing import Any | |
| from . import _acidbase as ab | |
| from ._echem_common import (BOOL, LN10, T_REF, TEXT, arr, get_template, index_by_id, interp_linear, matches, nullable, num, | |
| number, obj, provenance, public_record) | |
| TEMPLATE_REL = "assets/reactions/metrohm_914_standards_library/templates.json" | |
| ACIDBASE_REL = ab.ACIDBASE_REL | |
| TEMPLATE_CAPABILITY_IDS = ("template.list", "template.read", "electrochemistry.template_reading") | |
| CHANNEL_KEY = {"ph": "ph", "conductance": "conductance_s", "do": "do_kg_m3"} | |
| LIMITATIONS = [ | |
| "NIST pH(S) values are certified for the stated buffer compositions only, interpolated linearly between certificate temperatures (no extrapolation).", | |
| "Weak acid/base solution pH uses the shared pKa table with an ideal-solution charge balance (activity coefficients = 1).", | |
| "Conductance = κ(T) / cell constant; the cell constant is a host-supplied probe parameter (not invented); no conductance is computed for arbitrary solutions.", | |
| "Dissolved oxygen comes from the Benson–Krause saturation equations times a host-supplied saturation fraction (assumption, default none).", | |
| "Electrode response, drift, junction potential and DO probe dynamics remain the legacy engineering assumptions (ideal Nernst, instantaneous).", | |
| ] | |
| def _records() -> dict[str, dict[str, Any]]: | |
| return index_by_id(TEMPLATE_REL) | |
| def standard(substance_id: str) -> dict[str, Any] | None: | |
| return get_template(TEMPLATE_REL, substance_id) | |
| def buffer_ph(rec: dict[str, Any], temperature_k: float) -> float: | |
| return interp_linear(rec["temperature_k"], rec["ph_s"], float(temperature_k)) | |
| def conductivity_s_m(rec: dict[str, Any], temperature_k: float) -> float: | |
| """κ(T): linear interpolation in the tabulated range; single-temperature NIST lots use their certified linear | |
| coefficient κ = κ25[1 + α(t − 25 °C)] only inside the certificate's stated validity window.""" | |
| temps, values = rec["temperature_k"], rec["conductivity_s_m"] | |
| pairs = [(t, v) for t, v in zip(temps, values) if number(t) and number(v)] | |
| t = float(temperature_k) | |
| coefficient = rec.get("temperature_coefficient") or {} | |
| window = coefficient.get("valid_range_k") | |
| if len(pairs) == 1 and number(coefficient.get("alpha_per_k")) and isinstance(window, list) and window[0] <= t <= window[1]: | |
| t_ref = float(coefficient.get("reference_temperature_k", pairs[0][0])) | |
| return pairs[0][1] * (1.0 + float(coefficient["alpha_per_k"]) * (t - t_ref)) | |
| return interp_linear([p[0] for p in pairs], [p[1] for p in pairs], t) | |
| def do_model_record() -> dict[str, Any]: | |
| for rec in _records().values(): | |
| if rec.get("record_type") == "dissolved_oxygen_model": | |
| return rec | |
| raise KeyError("dissolved oxygen model missing") | |
| def do_saturation_kg_m3(temperature_k: float, pressure_pa: float = 101325.0, salinity: float = 0.0) -> float: | |
| """Benson & Krause (1984) air-saturated DO as used by USGS DOTABLES (coefficients from the library record). | |
| DO[mg/L] = DO0*FS*FP; DO0 = exp(a0 + a1/T + a2/T^2 + a3/T^3 + a4/T^4); FS = exp(-S*(b0 + b1/T + b2/T^2)); | |
| FP = (P-u)(1-theta0*P)/((1-u)(1-theta0)), theta0 = c0 + c1*t + c2*t^2, u = exp(d0 + d1/T + d2/T^2), P,u in atm. | |
| """ | |
| rec = do_model_record() | |
| c = rec["coefficients"] | |
| t = float(temperature_k) | |
| valid = rec.get("valid_range") or {} | |
| for value, key in ((t, "temperature_k"), (float(pressure_pa), "pressure_pa"), (float(salinity), "salinity_permil")): | |
| lo, hi = valid.get(key, [-math.inf, math.inf]) | |
| if not lo <= value <= hi: | |
| raise ValueError(f"{key} outside the DO model range") | |
| a, b, th, d = c["do0_ln_mg_l"], c["salinity_factor"], c["theta0"], c["water_vapour_pressure_ln_atm"] | |
| do0 = math.exp(a["a0"] + a["a1_K"] / t + a["a2_K2"] / t ** 2 + a["a3_K3"] / t ** 3 + a["a4_K4"] / t ** 4) | |
| fs = math.exp(-float(salinity) * (b["b0"] + b["b1_K"] / t + b["b2_K2"] / t ** 2)) | |
| tc = t - 273.15 | |
| theta = th["c0"] + th["c1_per_degC"] * tc + th["c2_per_degC2"] * tc ** 2 | |
| u = math.exp(d["d0"] + d["d1_K"] / t + d["d2_K2"] / t ** 2) | |
| p_atm = float(pressure_pa) / 101325.0 | |
| fp = (p_atm - u) * (1 - theta * p_atm) / ((1 - u) * (1 - theta)) | |
| return do0 * fs * fp * 1e-3 # mg/L -> kg/m3 | |
| SOLUTION_SCHEMA = obj({ | |
| "kind": {"type": "string", "enum": ["ph_buffer", "conductivity_standard", "solution", "water"]}, | |
| "substance_id": nullable({"type": "string", "minLength": 1, "maxLength": 128}), | |
| "components": arr(obj({"substance_id": {"type": "string", "minLength": 1, "maxLength": 128}, | |
| "concentration_mol_m3": num("mol/m^3", 0, 1e4), | |
| "protons_as_added": nullable({"type": "integer", "minimum": 0, "maximum": 8, "x-unit": "1"})}, | |
| required=["substance_id", "concentration_mol_m3"]), 16), | |
| "strong_electrolytes": arr(obj({"substance_id": {"type": "string", "minLength": 1, "maxLength": 128}, | |
| "concentration_mol_m3": num("mol/m^3", 0, 1e4)}), 8), | |
| "temperature_k": num("K", 273.15, 368.15), | |
| "cell_constant_m_inv": nullable(num("1/m", exclusive_minimum=0, maximum=1e5)), | |
| "do_saturation_fraction": nullable(num("1", 0, 3)), | |
| "pressure_pa": num("Pa", 5e4, 1.2e5), "salinity": num("1", 0, 40), | |
| "electrode_isopotential_ph": num("1", 0, 14), "electrode_isopotential_v": num("V", -1, 1), | |
| "standard_channel": nullable({"type": "string", "enum": ["ph", "conductance", "do"]}), | |
| }, required=["kind", "temperature_k"]) | |
| SOLUTION_DEFAULTS = {"substance_id": None, "components": [], "strong_electrolytes": [], "cell_constant_m_inv": None, | |
| "do_saturation_fraction": None, "pressure_pa": 101325.0, "salinity": 0.0, | |
| "electrode_isopotential_ph": 7.0, "electrode_isopotential_v": 0.0, "standard_channel": None} | |
| def build_sample(solution: dict[str, Any]) -> dict[str, Any]: | |
| """Complete explicit legacy truth sample + provenance from a template solution description.""" | |
| if not isinstance(solution, dict) or not matches(SOLUTION_SCHEMA, solution): | |
| raise ValueError("solution does not match the template solution schema") | |
| spec = {**SOLUTION_DEFAULTS, **copy.deepcopy(solution)} | |
| t = float(spec["temperature_k"]) | |
| values = {"ph": None, "conductance_s": None, "do_kg_m3": None} | |
| evidence, sources = {}, {} | |
| kind = spec["kind"] | |
| if kind in ("ph_buffer", "conductivity_standard"): | |
| rec = standard(spec["substance_id"] or "") | |
| if rec is None or rec.get("record_type") != kind: | |
| raise ValueError("unknown standard for this kind") | |
| if spec["components"] or spec["strong_electrolytes"]: | |
| raise ValueError("standards are fixed compositions") | |
| if kind == "ph_buffer": | |
| values["ph"] = buffer_ph(rec, t) | |
| evidence["ph"] = rec.get("evidence") | |
| sources["ph"] = provenance(TEMPLATE_REL, rec) | |
| else: | |
| if spec["cell_constant_m_inv"] is None: | |
| raise ValueError("cell constant required to turn conductivity into conductance") | |
| values["conductance_s"] = conductivity_s_m(rec, t) / spec["cell_constant_m_inv"] | |
| evidence["conductance"] = rec.get("evidence") | |
| sources["conductance"] = provenance(TEMPLATE_REL, rec) | |
| elif kind == "solution": | |
| comps = [] | |
| for comp in spec["components"]: | |
| rec = ab.record(comp["substance_id"]) | |
| if rec is None or rec.get("record_type") != "acid_base": | |
| raise ValueError("unknown acid-base component") | |
| protons = comp.get("protons_as_added") | |
| protons = int(rec["protons_in_named_form"]) if protons is None else int(protons) | |
| if not 0 <= protons <= int(rec["n_acidic_protons"]): | |
| raise ValueError("protons_as_added outside the acid system") | |
| comps.append({"record": rec, "total_mol_l": comp["concentration_mol_m3"] / 1000.0, "protons_as_added": protons}) | |
| strong = 0.0 | |
| for item in spec["strong_electrolytes"]: | |
| rec = ab.record(item["substance_id"]) | |
| if rec is None or rec.get("record_type") != "titrant": | |
| raise ValueError("unknown strong electrolyte") | |
| if rec.get("acid_base_link"): | |
| comps.append({"record": ab.record(rec["acid_base_link"]), "total_mol_l": item["concentration_mol_m3"] / 1000.0, | |
| "protons_as_added": int(ab.record(rec["acid_base_link"])["protons_in_named_form"])}) | |
| else: | |
| sign = 1.0 if rec["strength"] == "strong_base" else -1.0 | |
| strong += sign * float(rec.get("equivalents_per_mol") or 1) * item["concentration_mol_m3"] / 1000.0 | |
| solved = ab.solve_ph(comps, strong, t) | |
| values["ph"] = solved["ph"] | |
| evidence["ph"] = "derived (ideal charge balance from measured_literature pKa)" | |
| sources["ph"] = {"template_source": ACIDBASE_REL, "pka_models": solved["pka_models"], "pkw_model": solved["pkw_model"], | |
| "records": {c["record"]["substance_id"]: provenance(ACIDBASE_REL, c["record"])["template_record_source"] for c in comps}} | |
| elif spec["components"] or spec["strong_electrolytes"] or spec["substance_id"]: | |
| raise ValueError("kind 'water' takes no components") | |
| if spec["do_saturation_fraction"] is not None: | |
| rec = do_model_record() | |
| values["do_kg_m3"] = spec["do_saturation_fraction"] * do_saturation_kg_m3(t, spec["pressure_pa"], spec["salinity"]) | |
| evidence["do"] = "derived (Benson–Krause equations; saturation fraction is a host assumption)" | |
| sources["do"] = provenance(TEMPLATE_REL, rec) | |
| if all(v is None for v in values.values()): | |
| raise ValueError("solution yields no template-backed reading") | |
| standard_slot = spec["standard_channel"] | |
| if standard_slot is not None and values[CHANNEL_KEY[standard_slot]] is None: | |
| raise ValueError("standard channel has no template value") | |
| sample = {"ph": values["ph"], "conductance_s": values["conductance_s"], "do_kg_m3": values["do_kg_m3"], "temperature_k": t, | |
| "reference_ph": float(spec["electrode_isopotential_ph"]), "reference_potential_v": float(spec["electrode_isopotential_v"]), | |
| "conductance_temp_coefficient_k_inv": None, "conductance_reference_temperature_k": None, | |
| "standard_slot": standard_slot, "standard_value": None if standard_slot is None else values[CHANNEL_KEY[standard_slot]]} | |
| return {"spec": spec, "sample": sample, "evidence": evidence, "sources": sources} | |
| def read_record(substance_id: str, temperature_k: float | None, pressure_pa: float | None, salinity: float | None) -> dict[str, Any] | None: | |
| rec = standard(substance_id) | |
| rel = TEMPLATE_REL | |
| if rec is None: | |
| rec, rel = ab.record(substance_id), ACIDBASE_REL | |
| if rec is None: | |
| return None | |
| out = public_record(rel, rec) | |
| out["value_at_temperature"] = None | |
| out["value_unit"] = None | |
| if temperature_k is not None: | |
| try: | |
| kind = rec.get("record_type") | |
| if kind == "ph_buffer": | |
| out["value_at_temperature"], out["value_unit"] = buffer_ph(rec, temperature_k), "1" | |
| elif kind == "conductivity_standard": | |
| out["value_at_temperature"], out["value_unit"] = conductivity_s_m(rec, temperature_k), "S/m" | |
| elif kind == "dissolved_oxygen_model": | |
| out["value_at_temperature"] = do_saturation_kg_m3(temperature_k, 101325.0 if pressure_pa is None else pressure_pa, | |
| 0.0 if salinity is None else salinity) | |
| out["value_unit"] = "kg/m3" | |
| elif kind == "solvent_autoprotolysis": | |
| out["value_at_temperature"], out["value_unit"] = ab.pkw_at(temperature_k)[0], "1" | |
| except ValueError: | |
| out["value_at_temperature"] = None | |
| if rec.get("record_type") == "acid_base": | |
| out["pka_at_temperature"] = ab.pka_at(rec, T_REF if temperature_k is None else float(temperature_k))[0] | |
| else: | |
| out["pka_at_temperature"] = None | |
| return out | |
| def report(inst: dict[str, Any], reading: dict[str, Any], *, evaluator: bool) -> dict[str, Any]: | |
| template = inst.get("template") | |
| backed = template is not None and template["truth"] == inst["truth"] | |
| channel = inst["selected"] | |
| channel_backed = backed and channel in template["evidence"] | |
| result = {"template_backed": channel_backed, **{k: reading[k] for k in ("slot", "status", "stable", "ph", "potential_v", "conductance_s", "do_kg_m3", "calibrated", "sample_time_s")}, | |
| "template_sources": sorted({src.get("template_source") for src in template["sources"].values()}) if backed else [], | |
| "evidence": ({**{k: str(v) for k, v in template["evidence"].items()}, | |
| "electrode": "assumption: ideal Nernst/instantaneous probe (legacy model)"} if backed else None), | |
| "synthetic": not channel_backed, | |
| "synthetic_parts": ["probe response, stability and calibration offset (legacy engineering assumptions)"], | |
| "limitations": list(LIMITATIONS), "truth": None} | |
| if evaluator and backed: | |
| result["truth"] = {"solution": copy.deepcopy(template["spec"]), "sample": copy.deepcopy(template["sample"]), | |
| "sources": copy.deepcopy(template["sources"])} | |
| return result | |
| READ_INPUT = obj({"substance_id": {"type": "string", "minLength": 1, "maxLength": 128}, "temperature_k": nullable(num("K", 273.15, 368.15)), | |
| "pressure_pa": nullable(num("Pa", 5e4, 1.2e5)), "salinity": nullable(num("1", 0, 40))}, required=["substance_id"]) | |
| READ_OUTPUT = obj({"record": {"type": "object"}, "template_source": TEXT, "template_record_source": nullable(TEXT), "evidence": nullable(TEXT), | |
| "library_sha256": TEXT, "value_at_temperature": nullable(num("1")), "value_unit": nullable(TEXT), | |
| "pka_at_temperature": nullable(arr(num("1")))}) | |
| LIST_OUTPUT = obj({"records": arr(obj({"substance_id": TEXT, "record_type": TEXT, "name": TEXT, "template_source": TEXT}))}) | |
| REPORT_OUTPUT = obj({"template_backed": BOOL, "slot": TEXT, "status": TEXT, "stable": BOOL, "ph": nullable(num("1")), "potential_v": nullable(num("V")), | |
| "conductance_s": nullable(num("S")), "do_kg_m3": nullable(num("kg/m3")), "calibrated": BOOL, "sample_time_s": nullable(num("s", 0)), | |
| "template_sources": arr(TEXT), "evidence": nullable({"type": "object", "additionalProperties": TEXT}), "synthetic": BOOL, | |
| "synthetic_parts": arr(TEXT), "limitations": arr(TEXT), "truth": nullable({"type": "object"})}) | |
| def capability_metadata() -> dict[str, dict[str, Any]]: | |
| """Describe entries in the Metrohm914 metadata style.""" | |
| def entry(name, inputs, outputs, example, description): | |
| return {"availability": "implemented", "visibility": "agent", "kind": "query", "description_zh": description, | |
| "input_schema": inputs, "output_schema": outputs, "example_arguments": [example], "state_effects": [], "observes": [], | |
| "scene_backend_required": False, "preconditions_zh": "实例可用。", | |
| "completion_criterion_zh": "同步返回;不推进宿主时钟、不改变实例状态。", | |
| "binding": f"basic40_runtime_measure.Metrohm914Session.invoke(instance_id=..., capability_id='{name}', arguments=..., request_id=...)", | |
| "template_source": [TEMPLATE_REL, ACIDBASE_REL]} | |
| return { | |
| "template.list": entry("template.list", obj({}), LIST_OUTPUT, {}, "列出公开标准库(NIST pH缓冲液、电导标准液、溶解氧模型)与共享pKa表条目;不透露当前样品。"), | |
| "template.read": entry("template.read", READ_INPUT, READ_OUTPUT, {"substance_id": "nist_srm_185i_khp_buffer", "temperature_k": 298.15, "pressure_pa": None, "salinity": None}, | |
| "读取一条公开参考记录;给定温度时返回该温度的认证pH(S)、电导率κ或饱和溶解氧(表内线性插值或方程计算)。"), | |
| "electrochemistry.template_reading": entry("electrochemistry.template_reading", obj({}), REPORT_OUTPUT, {}, | |
| "返回当前所选通道读数及其模板来源、证据等级与假设清单;agent 不可见溶液组成与真值。"), | |
| } | |
| def invoke(session, host, instance_id: str, inst: dict[str, Any], cap: str, args: dict[str, Any], request_id: str, *, evaluator: bool): | |
| meta = capability_metadata()[cap] | |
| if not matches(meta["input_schema"], args): | |
| return session._error(instance_id, "INVALID_ARGUMENT", request_id) | |
| if cap == "template.list": | |
| rows = [{"substance_id": sid, "record_type": rec.get("record_type", ""), "name": rec.get("name", ""), "template_source": TEMPLATE_REL} | |
| for sid, rec in _records().items()] | |
| rows += [{"substance_id": sid, "record_type": rec.get("record_type", ""), "name": rec.get("name", ""), "template_source": ACIDBASE_REL} | |
| for sid, rec in index_by_id(ACIDBASE_REL).items() if rec.get("record_type") in ("acid_base", "solvent_autoprotolysis", "titrant")] | |
| return session._envelope(instance_id, request_id, result={"records": rows}) | |
| if cap == "template.read": | |
| result = read_record(args["substance_id"], args.get("temperature_k"), args.get("pressure_pa"), args.get("salinity")) | |
| if result is None: | |
| return session._error(instance_id, "INVALID_ARGUMENT", request_id) | |
| return session._envelope(instance_id, request_id, result=result) | |
| return session._envelope(instance_id, request_id, result=report(inst, host._reading(inst), evaluator=evaluator)) | |
| def host_step_template(host, time_s: float, solutions: dict[str, dict[str, Any]], inputs: dict[str, Any] | None = None) -> dict[str, Any]: | |
| """Build template samples, advance the legacy host clock with them, then attach provenance to each instance.""" | |
| with host._lock: | |
| if not isinstance(solutions, dict) or any(not isinstance(k, str) or k not in host._instances for k in solutions): | |
| raise ValueError("solutions must map known instance ids to solution descriptions") | |
| merged = dict(inputs or {}) | |
| if set(merged) & set(solutions): | |
| raise ValueError("an instance cannot receive both a template and an explicit sample") | |
| built = {iid: build_sample(spec) for iid, spec in solutions.items()} | |
| merged.update({iid: dict(b["sample"]) for iid, b in built.items()}) | |
| host.host_step(time_s, inputs=merged) | |
| for iid, b in built.items(): | |
| inst = host._instances[iid] | |
| inst["template"] = {"truth": dict(inst["truth"]), "spec": b["spec"], "sample": b["sample"], | |
| "evidence": b["evidence"], "sources": b["sources"]} | |
| return {iid: {"template_backed": True, "synthetic": False} for iid in built} | |